Q: What are the prime factors of the number 5,984,325?

 A: 3, 5, 26597

Why are those the prime factors of the number 5,984,325?

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 5,984,325

5,984,325
Factor Arrows
31,994,775
Factor Arrows
3664,925
Factor Arrows
5132,985
Factor Arrows
526,597

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, 5, 26597

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 26,597 = 5,984,325

This can also be written as 32 x 52 x 26,5971 = 5,984,325

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


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