Q: What are the prime factors of the number 127,276,700?

 A: 2, 5, 31, 41057

Why are those the prime factors of the number 127,276,700?

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 127,276,700

127,276,700
Factor Arrows
263,638,350
Factor Arrows
231,819,175
Factor Arrows
56,363,835
Factor Arrows
51,272,767
Factor Arrows
3141,057

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, 31, 41057

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 31 x 41,057 = 127,276,700

This can also be written as 22 x 52 x 311 x 41,0571 = 127,276,700

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


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