Q: What are the prime factors of the number 503,925?

 A: 3, 5, 6719

Why are those the prime factors of the number 503,925?

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 503,925

503,925
Factor Arrows
3167,975
Factor Arrows
533,595
Factor Arrows
56,719

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, 6719

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 6,719 = 503,925

This can also be written as 31 x 52 x 6,7191 = 503,925

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


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