Q: What are the prime factors of the number 225,064?

 A: 2, 7, 4019

Why are those the prime factors of the number 225,064?

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 225,064

225,064
Factor Arrows
2112,532
Factor Arrows
256,266
Factor Arrows
228,133
Factor Arrows
74,019

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:

2, 7, 4019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 4,019 = 225,064

This can also be written as 23 x 71 x 4,0191 = 225,064

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


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