SBP-Program

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56700 prime factorization

What is the prime factorization of 56700?

Find the prime factorization of 56700

We draw a vertical line and write 56700 to the left of the line:

56700  

56700 is divisible by 100

56700 : 100 =
56700 : (10 * 10) =
56700 : ((2 * 5) * (2 * 5)) =
56700 : (2 * 5)2 =
56700 : (22 * 52) =
567

See Divisibility criteria for 10.

We write (22 * 52) (the divisor) to the right of the line and 567 to the left of the line:

56700  22 * 52
  567  

Both 2 and 5 are prime numbers.

567 is not a prime number.

See Prime numbers 1 through 1000.

567 is divisible by 9

567 : 9 =
567 : (3 * 3) = 63

We write (3 * 3) (the divisor) to the right of the line and 63 to the left of the line:

56700  22 * 52
  567  3 * 3
   63  

63 is divisible by 9:

63 : 9 =
63 : (3 * 3) = 7

We write (3 * 3) (the divisor) to the right of the line and 7 to the left of the line:

56700  22 * 52
  567  3 * 3
   63  3 * 3
    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:

56700  22 * 52
  567  3 * 3
   63  3 * 3
    7  7
    1 

The numbers to the right of the line are prime factors of the number 56700.

Therefore, the prime factorization of 56700 is

56700 =
2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 7

The prime factorization of 56700 using exponents

56700 =
22 * 34 * 52 * 7

So, the prime factors of 56700 are

2, 2, 3, 3, 3, 3, 5, 5, 7