Q: What are the prime factors of the number 2,445,480?

 A: 2, 3, 5, 6793

Why are those the prime factors of the number 2,445,480?

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 2,445,480

2,445,480
Factor Arrows
21,222,740
Factor Arrows
2611,370
Factor Arrows
2305,685
Factor Arrows
3101,895
Factor Arrows
333,965
Factor Arrows
56,793

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, 5, 6793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 6,793 = 2,445,480

This can also be written as 23 x 32 x 51 x 6,7931 = 2,445,480

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


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