Q: What are the prime factors of the number 138,024,550?

 A: 2, 5, 19, 145289

Why are those the prime factors of the number 138,024,550?

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 138,024,550

138,024,550
Factor Arrows
269,012,275
Factor Arrows
513,802,455
Factor Arrows
52,760,491
Factor Arrows
19145,289

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, 19, 145289

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 19 x 145,289 = 138,024,550

This can also be written as 21 x 52 x 191 x 145,2891 = 138,024,550

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


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