Q: What are the prime factors of the number 64,636,500?

 A: 2, 3, 5, 41, 1051

Why are those the prime factors of the number 64,636,500?

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 64,636,500

64,636,500
Factor Arrows
232,318,250
Factor Arrows
216,159,125
Factor Arrows
35,386,375
Factor Arrows
51,077,275
Factor Arrows
5215,455
Factor Arrows
543,091
Factor Arrows
411,051

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, 3, 5, 41, 1051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 41 x 1,051 = 64,636,500

This can also be written as 22 x 31 x 53 x 411 x 1,0511 = 64,636,500

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


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