Q: What are the prime factors of the number 124,003,725?

 A: 3, 5, 1653383

Why are those the prime factors of the number 124,003,725?

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 124,003,725

124,003,725
Factor Arrows
341,334,575
Factor Arrows
58,266,915
Factor Arrows
51,653,383

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, 5, 1653383

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 1,653,383 = 124,003,725

This can also be written as 31 x 52 x 1,653,3831 = 124,003,725

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


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