Q: What are the prime factors of the number 64,364,014?

 A: 2, 11, 13, 41, 499

Why are those the prime factors of the number 64,364,014?

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 64,364,014

64,364,014
Factor Arrows
232,182,007
Factor Arrows
112,925,637
Factor Arrows
11265,967
Factor Arrows
1320,459
Factor Arrows
41499

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, 11, 13, 41, 499

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 13 x 41 x 499 = 64,364,014

This can also be written as 21 x 112 x 131 x 411 x 4991 = 64,364,014

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


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