Q: What are the prime factors of the number 320,332,124?

 A: 2, 7, 157, 72869

Why are those the prime factors of the number 320,332,124?

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 320,332,124

320,332,124
Factor Arrows
2160,166,062
Factor Arrows
280,083,031
Factor Arrows
711,440,433
Factor Arrows
15772,869

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, 7, 157, 72869

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 157 x 72,869 = 320,332,124

This can also be written as 22 x 71 x 1571 x 72,8691 = 320,332,124

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


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