Q: What are the prime factors of the number 20,496,375?

 A: 3, 5, 6073

Why are those the prime factors of the number 20,496,375?

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 20,496,375

20,496,375
Factor Arrows
36,832,125
Factor Arrows
32,277,375
Factor Arrows
3759,125
Factor Arrows
5151,825
Factor Arrows
530,365
Factor Arrows
56,073

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, 6073

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 5 x 6,073 = 20,496,375

This can also be written as 33 x 53 x 6,0731 = 20,496,375

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


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