245 (two hundred forty-five) is an odd three-digits composite number following 244 and preceding 246. In scientific notation, it is written as 2.45 × 102. The sum of its digits is 11. It has a total of 3 prime factors and 6 positive divisors. There are 168 positive integers (up to 245) that are relatively prime to 245.
- Is Prime?No
- Number parityOdd
- Number length3
- Sum of Digits11
- Digital Root2
| Short name | 245 |
|---|---|
| Full name | two hundred forty-five |
| Scientific notation | 2.45 × 102 |
|---|---|
| Engineering notation | 245 × 100 |
Prime Factorization5 × 72
Composite number| ω(n) | Distinct Factors | 2 | Total number of distinct prime factors |
|---|---|---|---|
| Ω(n) | Total Factors | 3 | Total number of prime factors |
| rad(n) | Radical | 35 | Product of the distinct prime numbers |
| λ(n) | Liouville Lambda | -1 | Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) |
| μ(n) | Mobius Mu | 0 | Returns:
|
| Λ(n) | Mangoldt function | 0 | Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0 |
The prime factorization of 245 is 5 × 72. Since it has a total of 3 prime factors, 245 is a composite number.
6 divisors
| Even divisors | 0 |
|---|---|
| Odd divisors | 6 |
| 4k+1 divisors | 4 |
| 4k+3 divisors | 2 |
| τ(n) | Total Divisors | 6 | Total number of the positive divisors of n |
|---|---|---|---|
| σ(n) | Sum of Divisors | 342 | Sum of all the positive divisors of n |
| s(n) | Aliquot Sum | 97 | Sum of the proper positive divisors of n |
| A(n) | Arithmetic Mean | 57 | Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) |
| G(n) | Geometric Mean | 15.652475842499 | Returns the nth root of the product of n divisors |
| H(n) | Harmonic Mean | 4.2982456140351 | Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors |
The number 245 can be divided by 6 positive divisors (out of which 0 are even, and 6 are odd). The sum of these divisors (counting 245) is 342, the average is 57.
| φ(n) | Euler Totient | 168 | Total number of positive integers not greater than n that are coprime to n |
|---|---|---|---|
| λ(n) | Carmichael Lambda | 84 | Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n |
| π(n) | Prime Pi | ≈ 54 | Total number of primes less than or equal to n |
| r2(n) | Sum of 2 squares | 8 | The number of ways n can be represented as the sum of 2 squares |
There are 168 positive integers (less than 245) that are coprime with 245. And there are approximately 54 prime numbers less than or equal to 245.
| m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|
| n mod m | 1 | 2 | 1 | 0 | 5 | 0 | 5 | 2 |
The number 245 is divisible by 5 and 7.
By Arithmetic functions
Expressible via specific sums
Other numbers
| Base | System | Value |
|---|---|---|
| 2 | Binary | 11110101 |
| 3 | Ternary | 100002 |
| 4 | Quaternary | 3311 |
| 5 | Quinary | 1440 |
| 6 | Senary | 1045 |
| 8 | Octal | 365 |
| 10 | Decimal | 245 |
| 12 | Duodecimal | 185 |
| 16 | Hexadecimal | f5 |
| 20 | Vigesimal | c5 |
| 36 | Base36 | 6t |
Multiplication
n×y| n×2 | 490 |
|---|---|
| n×3 | 735 |
| n×4 | 980 |
| n×5 | 1225 |
Division
n÷y| n÷2 | 122.500 |
|---|---|
| n÷3 | 81.666 |
| n÷4 | 61.250 |
| n÷5 | 49.000 |
Exponentiation
ny| n2 | 60025 |
|---|---|
| n3 | 14706125 |
| n4 | 3603000625 |
| n5 | 882735153125 |
Nth Root
y√n| 2√n | 15.652475842499 |
|---|---|
| 3√n | 6.257324745676 |
| 4√n | 3.9563209984149 |
| 5√n | 3.0049220937458 |
Circle
Radius = n| Diameter | 490 |
|---|---|
| Circumference | 1539.380400259 |
| Area | 188574.09903173 |
Sphere
Radius = n| Volume | 61600872.350364 |
|---|---|
| Surface area | 754296.39612691 |
| Circumference | 1539.380400259 |
Square
Length = n| Perimeter | 980 |
|---|---|
| Area | 60025 |
| Diagonal | 346.48232278141 |
Cube
Length = n| Surface area | 360150 |
|---|---|
| Volume | 14706125 |
| Space diagonal | 424.35244785437 |
Equilateral Triangle
Length = n| Perimeter | 735 |
|---|---|
| Area | 25991.58743108 |
| Altitude | 212.17622392719 |
Triangular Pyramid
Length = n| Surface area | 103966.34972432 |
|---|---|
| Volume | 1733133.4520795 |
| Height | 200.04166232729 |
| md5 | 0266e33d3f546cb5436a10798e657d97 |
|---|---|
| sha1 | 3aed9b0313f9226111de8aeabaedccf8db07d428 |
| sha256 | 011af72a910ac4acf367eef9e6b761e0980842c30d4e9809840f4141d5163ede |
| sha512 | 46e59410cf5010798015775e98b4aff99a6d410d2322a6498fcf428d119ac463ccb70af91fe7404a6ab0fce33d2bc3a570a19c8dc06f75cf61d8ca10ff8b1275 |
| ripemd-160 | e5d952522d7549a592bf7c02639587e3315491d2 |
Why is the prime factorization of 245 written as 51 x 72?
What is prime factorization?
Prime factorization or prime factor decomposition is the process of finding which prime numbers can be multiplied together to make the original number.
Finding the prime factors of 245
To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.
If it doesn't make sense yet, let's try it...
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 245 by 2
245 ÷ 2 = 122.5 - This has a remainder. Let's try another prime number.
245 ÷ 3 = 81.6667 - This has a remainder. Let's try another prime number.
245 ÷ 5 = 49 - No remainder! 5 is one of the factors!
49 ÷ 5 = 9.8 - There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number
49 ÷ 7 = 7 - No remainder! 7 is one of the factors!
7 ÷ 7 = 1 - No remainder! 7 is one of the factors!
The orange divisor(s) above are the prime factors of the number 245. If we put all of it together we have the factors 5 x 7 x 7 = 245. It can also be written in exponential form as 51 x 72.
Factor Tree
Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 245.
| 245 | |
 | |
| 5 | 49 |
| |
| 7 | 7 |
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Here we will show you two methods that you can use to simplify the square root of 245. In other words, we will show you how to find the square root of 245 in its simplest radical form using two different methods.
To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.
√245= A√B
Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 245 to simplify the square root of 245. This is how to calculate A and B using this method:
A= Calculate the square root of the greatest perfect square from the list of all factors of 245. The factors of 245 are 1, 5, 7, 35, 49, and 245. Furthermore, the greatest perfect square on this list is 49 and the square root of 49 is 7. Therefore, A equals 7.
B= Calculate 245 divided by the greatest perfect square from the list of all factors of 245. We determined above that the greatest perfect square from the list of all factors of 245 is 49. Furthermore, 245 divided by 49 is 5, therefore B equals 5.
Now we have A and B and can get our answer to 245 in its simplest radical form as follows:
√245= A√B
√245 = 7√5
Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 245 to simplify the square root of 245 to its simplest form possible. This is how to calculate A and B using this method:
A= Multiply all the double prime factors (pairs) of 245 and then take the square root of that product. The prime factors that multiply together to make 245 are 5 x 7 x 7. When we strip out the pairs only, we get 7 x 7 = 49 and the square root of 49 is 7. Therefore, A equals 7.
B= Divide 245 by the number (A) squared. 7 squared is 49 and 245 divided by 49 is 5. Therefore, B equals 5.
Once again we have A and B and can get our answer to 245 in its simplest radical form as follows:
√245= A√B
√245 = 7√5
Simplify Square Root
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Simplify Square Root of 246
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Here we have a collection of all the information you may need about the Prime Factors of 245. We will give you the definition of Prime Factors of 245, show you how to find the Prime Factors of 245 (Prime Factorization of 245) by creating a Prime Factor Tree of 245, tell you how many Prime Factors of 245 there are, and we will show you the Product of Prime Factors of 245.
Prime Factors of 245 definition
First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 245 are all the prime numbers that when multiplied together equal 245.
How to find the Prime Factors of 245
The process of finding the Prime Factors of 245 is called Prime Factorization of 245. To get the Prime Factors of 245, you divide 245 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.
This Prime Factorization process creates what we call the Prime Factor Tree of 245. See illustration below.
All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 245. Here is the math to illustrate:
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Again, all the prime numbers you used to divide above are the Prime Factors of 245. Thus, the Prime Factors of 245 are:
5, 7, 7.
How many Prime Factors of 245?
When we count the number of prime numbers above, we find that 245 has a total of 3 Prime Factors.
Product of Prime Factors of 245
The Prime Factors of 245 are unique to 245. When you multiply all the Prime Factors of 245 together it will result in 245. This is called the Product of Prime Factors of 245. The Product of Prime Factors of 245 is:
5 × 7 × 7 = 245
Prime Factor Calculator
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Prime Factors of 246
We hope this step-by-step tutorial to teach you about Prime Factors of 245 was helpful. Do you want a test? If so, try to find the Prime Factors of the next number on our list and then check your answer here.
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Prime factorization 245
He was right. She was married and she had to be faithful to her husband. She let him do whatever he wanted her.
Math Antics - Prime FactorizationShe looked at me, smiling with a strange smile, and said: - Are you still wary. - I wasnt angry. - Well, well, dont be wrong, modest youth; I dont know exactly that you dont have any work.
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