Q: What are the prime factors of the number 136,729,440?

 A: 2, 3, 5, 94951

Why are those the prime factors of the number 136,729,440?

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 136,729,440

136,729,440
Factor Arrows
268,364,720
Factor Arrows
234,182,360
Factor Arrows
217,091,180
Factor Arrows
28,545,590
Factor Arrows
24,272,795
Factor Arrows
31,424,265
Factor Arrows
3474,755
Factor Arrows
594,951

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, 94951

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 94,951 = 136,729,440

This can also be written as 25 x 32 x 51 x 94,9511 = 136,729,440

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


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