Q: What are the prime factors of the number 2,976,960?

 A: 2, 3, 5, 7, 443

Why are those the prime factors of the number 2,976,960?

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 2,976,960

2,976,960
Factor Arrows
21,488,480
Factor Arrows
2744,240
Factor Arrows
2372,120
Factor Arrows
2186,060
Factor Arrows
293,030
Factor Arrows
246,515
Factor Arrows
315,505
Factor Arrows
53,101
Factor Arrows
7443

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, 7, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 443 = 2,976,960

This can also be written as 26 x 31 x 51 x 71 x 4431 = 2,976,960

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


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