Q: What are the prime factors of the number 127,545,472?

 A: 2, 151, 6599

Why are those the prime factors of the number 127,545,472?

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 127,545,472

127,545,472
Factor Arrows
263,772,736
Factor Arrows
231,886,368
Factor Arrows
215,943,184
Factor Arrows
27,971,592
Factor Arrows
23,985,796
Factor Arrows
21,992,898
Factor Arrows
2996,449
Factor Arrows
1516,599

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, 151, 6599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 151 x 6,599 = 127,545,472

This can also be written as 27 x 1511 x 6,5991 = 127,545,472

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


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