Q: What are the prime factors of the number 4,478,125?

 A: 5, 1433

Why are those the prime factors of the number 4,478,125?

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 4,478,125

4,478,125
Factor Arrows
5895,625
Factor Arrows
5179,125
Factor Arrows
535,825
Factor Arrows
57,165
Factor Arrows
51,433

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:

5, 1433

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 5 x 1,433 = 4,478,125

This can also be written as 55 x 1,4331 = 4,478,125

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


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