Q: What are the prime factors of the number 2,987,088?

 A: 2, 3, 13, 4787

Why are those the prime factors of the number 2,987,088?

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 2,987,088

2,987,088
Factor Arrows
21,493,544
Factor Arrows
2746,772
Factor Arrows
2373,386
Factor Arrows
2186,693
Factor Arrows
362,231
Factor Arrows
134,787

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, 13, 4787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 4,787 = 2,987,088

This can also be written as 24 x 31 x 131 x 4,7871 = 2,987,088

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


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