Q: What are the prime factors of the number 67,700,475?

 A: 3, 5, 100297

Why are those the prime factors of the number 67,700,475?

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 67,700,475

67,700,475
Factor Arrows
322,566,825
Factor Arrows
37,522,275
Factor Arrows
32,507,425
Factor Arrows
5501,485
Factor Arrows
5100,297

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, 100297

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 100,297 = 67,700,475

This can also be written as 33 x 52 x 100,2971 = 67,700,475

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


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