Q: What are the prime factors of the number 64,650,176?

 A: 2, 67, 15077

Why are those the prime factors of the number 64,650,176?

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 64,650,176

64,650,176
Factor Arrows
232,325,088
Factor Arrows
216,162,544
Factor Arrows
28,081,272
Factor Arrows
24,040,636
Factor Arrows
22,020,318
Factor Arrows
21,010,159
Factor Arrows
6715,077

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, 67, 15077

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 67 x 15,077 = 64,650,176

This can also be written as 26 x 671 x 15,0771 = 64,650,176

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


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