Q: What are the prime factors of the number 2,363,110?

 A: 2, 5, 383, 617

Why are those the prime factors of the number 2,363,110?

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 2,363,110

2,363,110
Factor Arrows
21,181,555
Factor Arrows
5236,311
Factor Arrows
383617

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, 383, 617

We can check our work by multiplying all of the prime factors together: 2 x 5 x 383 x 617 = 2,363,110

This can also be written as 21 x 51 x 3831 x 6171 = 2,363,110

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


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