# SBP-Program

## 5390 prime factorization

What is the prime factorization of 5390?

### Find the prime factorization of 5390

We draw a vertical line and write 5390 to the left of the line:

 5390

5390 is divisible by 10

5390 : 10 =
5390 : (2 * 5) = 539

We write (2 * 5) (the divisor) to the right of the line and 539 to the left of the line:

 5390 2 * 5 539

Both 2 and 5 are prime numbers.

539 is not a prime number.

539 is divisible by 11

539 : 11 = 49

We write 11 (the divisor) to the right of the line and 49 to the left of the line:

 5390 2 * 5 539 11 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:

 5390 2 * 5 539 11 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:

 5390 2 * 5 539 11 49 7 7 7 1

The numbers to the right of the line are prime factors of the number 5390.

Therefore, the prime factorization of 5390 is

5390 =
2 * 5 * 7 * 7 * 11

The prime factorization of 5390 using exponents

5390 =
2 * 5 * 72 * 11

So, the prime factors of 5390 are

2, 5, 7, 7, 11