Q: What are the prime factors of the number 373,880?

 A: 2, 5, 13, 719

Why are those the prime factors of the number 373,880?

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 373,880

373,880
Factor Arrows
2186,940
Factor Arrows
293,470
Factor Arrows
246,735
Factor Arrows
59,347
Factor Arrows
13719

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, 5, 13, 719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 719 = 373,880

This can also be written as 23 x 51 x 131 x 7191 = 373,880

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


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