Q: What are the prime factors of the number 56,665,154?

 A: 2, 7, 13, 311347

Why are those the prime factors of the number 56,665,154?

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 56,665,154

56,665,154
Factor Arrows
228,332,577
Factor Arrows
74,047,511
Factor Arrows
13311,347

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:

2, 7, 13, 311347

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 311,347 = 56,665,154

This can also be written as 21 x 71 x 131 x 311,3471 = 56,665,154

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


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