Q: What are the prime factors of the number 56,071,750?

 A: 2, 5, 7, 179

Why are those the prime factors of the number 56,071,750?

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 56,071,750

56,071,750
Factor Arrows
228,035,875
Factor Arrows
55,607,175
Factor Arrows
51,121,435
Factor Arrows
5224,287
Factor Arrows
732,041
Factor Arrows
179179

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, 5, 7, 179

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 7 x 179 x 179 = 56,071,750

This can also be written as 21 x 53 x 71 x 1792 = 56,071,750

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


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