Q: What are the prime factors of the number 64,861,860?

 A: 2, 3, 5, 7, 389, 397

Why are those the prime factors of the number 64,861,860?

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 64,861,860

64,861,860
Factor Arrows
232,430,930
Factor Arrows
216,215,465
Factor Arrows
35,405,155
Factor Arrows
51,081,031
Factor Arrows
7154,433
Factor Arrows
389397

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, 7, 389, 397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 389 x 397 = 64,861,860

This can also be written as 22 x 31 x 51 x 71 x 3891 x 3971 = 64,861,860

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


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