Q: What are the prime factors of the number 124,250,139?

 A: 3, 13, 19, 31, 601

Why are those the prime factors of the number 124,250,139?

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 124,250,139

124,250,139
Factor Arrows
341,416,713
Factor Arrows
313,805,571
Factor Arrows
34,601,857
Factor Arrows
13353,989
Factor Arrows
1918,631
Factor Arrows
31601

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:

3, 13, 19, 31, 601

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 19 x 31 x 601 = 124,250,139

This can also be written as 33 x 131 x 191 x 311 x 6011 = 124,250,139

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


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