# SBP-Program

## 2695 prime factorization

What is the prime factorization of 2695?

### Find the prime factorization of 2695

We draw a vertical line and write 2695 to the left of the line:

 2695

2695 is divisible by 11

2695 : 11 = 245

We write 11 (the divisor) to the right of the line and 245 to the left of the line:

 2695 11 245

11 is a prime number.

245 is not a prime number.

245 is divisible by 5

245 : 5 = 49

We write 5 (the divisor) to the right of the line and 49 to the left of the line:

 2695 11 245 5 49

49 is divisible by 7

49 : 7 = 7

We write 7 (the divisor) to the right of the line and 7 to the left of the line:

 2695 11 245 5 49 7 7

7 is a prime number. 7 is divisible by itself and by 1. We divide 7 by 7:

7 : 7 = 1

and write 7 (the divisor) to the right of the line and 1 to the left of the line:

 2695 11 245 5 49 7 7 7 1

The numbers to the right of the line are prime factors of the number 2695.

Therefore, the prime factorization of 2695 is

2695 =
5 * 7 * 7 * 11

The prime factorization of 2695 using exponents

2695 = 5 * 72 * 11

So, the prime factors of 2695 are

5, 7, 7, 11