Q: What are the prime factors of the number 136,466,336?

 A: 2, 641, 6653

Why are those the prime factors of the number 136,466,336?

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 136,466,336

136,466,336
Factor Arrows
268,233,168
Factor Arrows
234,116,584
Factor Arrows
217,058,292
Factor Arrows
28,529,146
Factor Arrows
24,264,573
Factor Arrows
6416,653

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, 641, 6653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 641 x 6,653 = 136,466,336

This can also be written as 25 x 6411 x 6,6531 = 136,466,336

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


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