Q: What are the prime factors of the number 56,742,543?

 A: 3, 11, 13, 44089

Why are those the prime factors of the number 56,742,543?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 56,742,543

56,742,543
Factor Arrows
318,914,181
Factor Arrows
36,304,727
Factor Arrows
11573,157
Factor Arrows
1344,089

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 11, 13, 44089

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 13 x 44,089 = 56,742,543

This can also be written as 32 x 111 x 131 x 44,0891 = 56,742,543

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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