Q: What are the prime factors of the number 136,216,640?

 A: 2, 5, 7, 60811

Why are those the prime factors of the number 136,216,640?

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 136,216,640

136,216,640
Factor Arrows
268,108,320
Factor Arrows
234,054,160
Factor Arrows
217,027,080
Factor Arrows
28,513,540
Factor Arrows
24,256,770
Factor Arrows
22,128,385
Factor Arrows
5425,677
Factor Arrows
760,811

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, 5, 7, 60811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 60,811 = 136,216,640

This can also be written as 26 x 51 x 71 x 60,8111 = 136,216,640

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


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