Q: What are the prime factors of the number 4,976,784?

 A: 2, 3, 17, 19, 107

Why are those the prime factors of the number 4,976,784?

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 4,976,784

4,976,784
Factor Arrows
22,488,392
Factor Arrows
21,244,196
Factor Arrows
2622,098
Factor Arrows
2311,049
Factor Arrows
3103,683
Factor Arrows
334,561
Factor Arrows
172,033
Factor Arrows
19107

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, 17, 19, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 17 x 19 x 107 = 4,976,784

This can also be written as 24 x 32 x 171 x 191 x 1071 = 4,976,784

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


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