Q: What are the prime factors of the number 20,987,088?

 A: 2, 3, 509, 859

Why are those the prime factors of the number 20,987,088?

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 20,987,088

20,987,088
Factor Arrows
210,493,544
Factor Arrows
25,246,772
Factor Arrows
22,623,386
Factor Arrows
21,311,693
Factor Arrows
3437,231
Factor Arrows
509859

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, 509, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 509 x 859 = 20,987,088

This can also be written as 24 x 31 x 5091 x 8591 = 20,987,088

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


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