Q: What are the prime factors of the number 63,076,160?

 A: 2, 5, 7, 29, 971

Why are those the prime factors of the number 63,076,160?

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 63,076,160

63,076,160
Factor Arrows
231,538,080
Factor Arrows
215,769,040
Factor Arrows
27,884,520
Factor Arrows
23,942,260
Factor Arrows
21,971,130
Factor Arrows
2985,565
Factor Arrows
5197,113
Factor Arrows
728,159
Factor Arrows
29971

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, 29, 971

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 5 x 7 x 29 x 971 = 63,076,160

This can also be written as 26 x 51 x 71 x 291 x 9711 = 63,076,160

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


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