Q: What are the prime factors of the number 1,622,925?

 A: 3, 5, 7213

Why are those the prime factors of the number 1,622,925?

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 1,622,925

1,622,925
Factor Arrows
3540,975
Factor Arrows
3180,325
Factor Arrows
536,065
Factor Arrows
57,213

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, 7213

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 7,213 = 1,622,925

This can also be written as 32 x 52 x 7,2131 = 1,622,925

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


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