Q: What are the prime factors of the number 5,431,887?

 A: 3, 23, 8747

Why are those the prime factors of the number 5,431,887?

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 5,431,887

5,431,887
Factor Arrows
31,810,629
Factor Arrows
3603,543
Factor Arrows
3201,181
Factor Arrows
238,747

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:

3, 23, 8747

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 23 x 8,747 = 5,431,887

This can also be written as 33 x 231 x 8,7471 = 5,431,887

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


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