Q: What are the prime factors of the number 64,266,228?

 A: 2, 3, 13, 137321

Why are those the prime factors of the number 64,266,228?

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 64,266,228

64,266,228
Factor Arrows
232,133,114
Factor Arrows
216,066,557
Factor Arrows
35,355,519
Factor Arrows
31,785,173
Factor Arrows
13137,321

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, 13, 137321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 137,321 = 64,266,228

This can also be written as 22 x 32 x 131 x 137,3211 = 64,266,228

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


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