Q: What are the prime factors of the number 125,030,614?

 A: 2, 17, 79, 46549

Why are those the prime factors of the number 125,030,614?

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 125,030,614

125,030,614
Factor Arrows
262,515,307
Factor Arrows
173,677,371
Factor Arrows
7946,549

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, 17, 79, 46549

We can check our work by multiplying all of the prime factors together: 2 x 17 x 79 x 46,549 = 125,030,614

This can also be written as 21 x 171 x 791 x 46,5491 = 125,030,614

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


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