Q: What are the prime factors of the number 2,989,264?

 A: 2, 23, 8123

Why are those the prime factors of the number 2,989,264?

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 2,989,264

2,989,264
Factor Arrows
21,494,632
Factor Arrows
2747,316
Factor Arrows
2373,658
Factor Arrows
2186,829
Factor Arrows
238,123

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, 23, 8123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 8,123 = 2,989,264

This can also be written as 24 x 231 x 8,1231 = 2,989,264

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


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