Q: What are the prime factors of the number 136,653,240?

 A: 2, 3, 5, 1138777

Why are those the prime factors of the number 136,653,240?

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 136,653,240

136,653,240
Factor Arrows
268,326,620
Factor Arrows
234,163,310
Factor Arrows
217,081,655
Factor Arrows
35,693,885
Factor Arrows
51,138,777

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, 5, 1138777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 1,138,777 = 136,653,240

This can also be written as 23 x 31 x 51 x 1,138,7771 = 136,653,240

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


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