Q: What are the prime factors of the number 136,374,156?

 A: 2, 3, 37, 43, 2381

Why are those the prime factors of the number 136,374,156?

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 136,374,156

136,374,156
Factor Arrows
268,187,078
Factor Arrows
234,093,539
Factor Arrows
311,364,513
Factor Arrows
33,788,171
Factor Arrows
37102,383
Factor Arrows
432,381

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, 37, 43, 2381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 37 x 43 x 2,381 = 136,374,156

This can also be written as 22 x 32 x 371 x 431 x 2,3811 = 136,374,156

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


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