Q: What are the prime factors of the number 136,787,900?

 A: 2, 5, 23, 59473

Why are those the prime factors of the number 136,787,900?

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 136,787,900

136,787,900
Factor Arrows
268,393,950
Factor Arrows
234,196,975
Factor Arrows
56,839,395
Factor Arrows
51,367,879
Factor Arrows
2359,473

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, 23, 59473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 23 x 59,473 = 136,787,900

This can also be written as 22 x 52 x 231 x 59,4731 = 136,787,900

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


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