Q: What are the prime factors of the number 373,680,834?

 A: 2, 3, 29, 37, 58043

Why are those the prime factors of the number 373,680,834?

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 373,680,834

373,680,834
Factor Arrows
2186,840,417
Factor Arrows
362,280,139
Factor Arrows
292,147,591
Factor Arrows
3758,043

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, 3, 29, 37, 58043

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 37 x 58,043 = 373,680,834

This can also be written as 21 x 31 x 291 x 371 x 58,0431 = 373,680,834

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


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