# SBP-Program

## 5796 prime factorization

What is the prime factorization of 5796?

### Find the prime factorization of 5796

We draw a vertical line and write 5796 to the left of the line:

 5796

5796 is divisible by 9

5796 : 9 =
5796 : (3 * 3) = 644

We write (3 * 3) (the divisor) to the right of the line and 644 to the left of the line:

 5796 3 * 3 644

3 is a prime number.

644 is not a prime number.

644 is divisible by 7

644 : 7 = 92

We write 7 (the divisor) to the right of the line and 92 to the left of the line:

 5796 3 * 3 644 7 92

92 is divisible by 4

92 : 4 =
92 : (2 * 2) = 23

We write (2 * 2) (the divisor) to the right of the line and 23 to the left of the line:

 5796 3 * 3 644 7 92 2 * 2 23

23 is a prime number. 23 is divisible by itself and by 1. We divide 23 by 23:

23 : 23 = 1

and write 23 (the divisor) to the right of the line and 1 to the left of the line:

 5796 3 * 3 644 7 92 2 * 2 23 23 1

The numbers to the right of the line are prime factors of the number 5796.

Therefore, the prime factorization of 5796 is

5796 =
2 * 2 * 3 * 3 * 7 * 23

The prime factorization of 5796 using exponents

5796 =
22 * 32 * 7 * 23

So, the prime factors of 5796 are

2, 2, 3, 3, 7, 23