Q: What are the prime factors of the number 2,392,845?

 A: 3, 5, 7, 13, 1753

Why are those the prime factors of the number 2,392,845?

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 2,392,845

2,392,845
Factor Arrows
3797,615
Factor Arrows
5159,523
Factor Arrows
722,789
Factor Arrows
131,753

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:

3, 5, 7, 13, 1753

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 13 x 1,753 = 2,392,845

This can also be written as 31 x 51 x 71 x 131 x 1,7531 = 2,392,845

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


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