# SBP-Program

## 5544 prime factorization

What is the prime factorization of 5544?

### Find the prime factorization of 5544

We draw a vertical line and write 5544 to the left of the line:

 5544

5544 is divisible by 9

5544 : 9 =
5544 : (3 * 3) =
616

We write (3 * 3) (the divisor) to the right of the line and 616 to the left of the line:

 5544 3 * 3 616

3 is a prime number.

616 is not a prime number.

616 is divisible by 4

616 : 4 =
616 : (2 * 2) =
154

We write (2 * 2) (the divisor) to the right of the line and 154 to the left of the line:

 5544 3 * 3 616 2 * 2 154

154 is divisible by 7

154 : 7 = 22

We write 7 (the divisor) to the right of the line and 22 to the left of the line:

 5544 3 * 3 616 2 * 2 154 7 22

22 is divisible by 2:

22 : 2 = 11

We write 2 (the divisor) to the right of the line and 11 to the left of the line:

 5544 3 * 3 616 2 * 2 154 7 22 2 11

11 is a prime number. 11 is divisible by itself and by 1. We divide 11 by 11:

11 : 11 = 1

and write 11 (the divisor) to the right of the line and 1 to the left of the line:

 5544 3 * 3 616 2 * 2 154 7 22 2 11 11 1

The numbers to the right of the line are prime factors of the number 5544.

Therefore, the prime factorization of 5544 is

5544 =
2 * 2 * 2 * 3 * 3 * 7 * 11

The prime factorization of 5544 using exponents

5544 =
23 * 32 * 7 * 11

So, the prime factors of 5544 are

2, 2, 2, 3, 3, 7, 11