# 245 prime factorization

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 two hundred forty-five
Scientific notation 2.45 × 102 245 × 100

Prime Factorization5 × 72

Composite number
Distinct Factors Total Factors Radical ω(n) 2 Total number of distinct prime factors Ω(n) 3 Total number of prime factors rad(n) 35 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free)−1, if n has an odd number of prime factors (and is square free)0, if n has a squared prime factor Λ(n) 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 6 4 2
Total Divisors Sum of Divisors Aliquot Sum τ(n) 6 Total number of the positive divisors of n σ(n) 342 Sum of all the positive divisors of n s(n) 97 Sum of the proper positive divisors of n A(n) 57 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 15.6525 Returns the nth root of the product of n divisors H(n) 4.29825 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.

Euler Totient Carmichael Lambda Prime Pi φ(n) 168 Total number of positive integers not greater than n that are coprime to n λ(n) 84 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 54 Total number of primes less than or equal to n r2(n) 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 n mod m 2 3 4 5 6 7 8 9 1 2 1 0 5 0 5 2

The number 245 is divisible by 5 and 7.

BaseSystemValue
2Binary11110101
3Ternary100002
4Quaternary3311
5Quinary1440
6Senary1045
8Octal365
10Decimal245
12Duodecimal185
20Vigesimalc5
36Base366t

### Multiplication

n×y
 n×2 490 735 980 1225

### Division

n÷y
 n÷2 122.5 81.666 61.25 49

### Exponentiation

ny
 n2 60025 14706125 3603000625 882735153125

### Nth Root

y√n
 2√n 15.6525 6.25732 3.95632 3.00492

### Circle

 Diameter 490 1539.38 188574

### Sphere

 Volume 6.16009e+07 754296 1539.38

### Square

Length = n

 Perimeter 980 60025 346.482

### Cube

Length = n

 Surface area 360150 1.47061e+07 424.352

### Equilateral Triangle

Length = n

 Perimeter 735 25991.6 212.176

### Triangular Pyramid

Length = n

 Surface area 103966 1.73313e+06 200.042
md5 0266e33d3f546cb5436a10798e657d97 3aed9b0313f9226111de8aeabaedccf8db07d428 011af72a910ac4acf367eef9e6b761e0980842c30d4e9809840f4141d5163ede 46e59410cf5010798015775e98b4aff99a6d410d2322a6498fcf428d119ac463ccb70af91fe7404a6ab0fce33d2bc3a570a19c8dc06f75cf61d8ca10ff8b1275 e5d952522d7549a592bf7c02639587e3315491d2
Sours: https://metanumbers.com/245

### 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

### More Prime Factorization Examples

Try the factor calculator

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
Please enter another square root in the box below for us to simplify.

Simplify Square Root of 246
Here is the next square root on our list that we have simplifed for you.

Sours: https://squareroot.info/simplify/0/simplify-square-root-of-245.html

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
Do you need the Prime Factors for a particular number? You can submit a number below to find the Prime Factors of that number with detailed explanations like we did with Prime Factors of 245 above.

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.

Sours: https://factorization.info/prime-factors/0/prime-factors-of-245.html

## 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 Factorization

She 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.

### Similar news:

There were 20 Germans, and they were clearly not armed with pistols, unlike the pilots. After five minutes of battle, when the hotly fired cartridges of the defencists of the improvised brothel began to dry up, the Germans came almost close to the house, throwing. Grenades into the windows of the second floor. -See the Khan to the guys.

13133 13134 13135 13136 13137