Q: What are the prime factors of the number 373,680,832?

 A: 2, 7, 47, 17747

Why are those the prime factors of the number 373,680,832?

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 373,680,832

373,680,832
Factor Arrows
2186,840,416
Factor Arrows
293,420,208
Factor Arrows
246,710,104
Factor Arrows
223,355,052
Factor Arrows
211,677,526
Factor Arrows
25,838,763
Factor Arrows
7834,109
Factor Arrows
4717,747

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, 47, 17747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47 x 17,747 = 373,680,832

This can also be written as 26 x 71 x 471 x 17,7471 = 373,680,832

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


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