# SBP-Program

## 50050 prime factorization

What is the prime factorization of 50050?

### Find the prime factorization of 50050

We draw a vertical line and write 50050 to the left of the line:

 50050

50050 is divisible by 50

50050 : 50 =
50050 : (2 * 25) =
50050 : (2 * 5 * 5) =
1001

We write (2 * 5 * 5) (the divisor) to the right of the line and 1001 to the left of the line:

 50050 2 * 5 * 5 1001

Both 2 and 5 are prime numbers.

1001 is not a prime number.

1001 is divisible by 11

1001 : 11 = 91

We write 11 (the divisor) to the right of the line and 91 to the left of the line:

 50050 2 * 5 * 5 1001 11 91

91 is divisible by 7:

91 : 7 = 13

We write 7 (the divisor) to the right of the line and 13 to the left of the line:

 50050 2 * 5 * 5 1001 11 91 7 13

13 is a prime number. 13 is divisible by itself and by 1. We divide 13 by 13:

13 : 13 = 1

and write 13 (the divisor) to the right of the line and 1 to the left of the line:

 50050 2 * 5 * 5 1001 11 91 7 13 13 1

The numbers to the right of the line are prime factors of the number 50050.

Therefore, the prime factorization of 50050 is

50050 =
2 * 5 * 5 * 7 * 11 * 13

The prime factorization of 50050 using exponents

50050 =
2 * 52 * 7 * 11 * 13

So, the prime factors of 50050 are

2, 5, 5, 7, 11, 13