Q: What are the prime factors of the number 64,540,314?

 A: 2, 3, 41, 79

Why are those the prime factors of the number 64,540,314?

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 64,540,314

64,540,314
Factor Arrows
232,270,157
Factor Arrows
310,756,719
Factor Arrows
33,585,573
Factor Arrows
31,195,191
Factor Arrows
3398,397
Factor Arrows
3132,799
Factor Arrows
413,239
Factor Arrows
4179

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, 41, 79

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 41 x 41 x 79 = 64,540,314

This can also be written as 21 x 35 x 412 x 791 = 64,540,314

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


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