Q: What are the prime factors of the number 138,487,338?

 A: 2, 3, 11, 17, 41143

Why are those the prime factors of the number 138,487,338?

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 138,487,338

138,487,338
Factor Arrows
269,243,669
Factor Arrows
323,081,223
Factor Arrows
37,693,741
Factor Arrows
11699,431
Factor Arrows
1741,143

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, 11, 17, 41143

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 17 x 41,143 = 138,487,338

This can also be written as 21 x 32 x 111 x 171 x 41,1431 = 138,487,338

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


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