Q: What are the prime factors of the number 3,236,976?

 A: 2, 3, 59, 127

Why are those the prime factors of the number 3,236,976?

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 3,236,976

3,236,976
Factor Arrows
21,618,488
Factor Arrows
2809,244
Factor Arrows
2404,622
Factor Arrows
2202,311
Factor Arrows
367,437
Factor Arrows
322,479
Factor Arrows
37,493
Factor Arrows
59127

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, 59, 127

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 3 x 59 x 127 = 3,236,976

This can also be written as 24 x 33 x 591 x 1271 = 3,236,976

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


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