Q: What are the prime factors of the number 67,455,675?

 A: 3, 5, 7, 42829

Why are those the prime factors of the number 67,455,675?

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 67,455,675

67,455,675
Factor Arrows
322,485,225
Factor Arrows
37,495,075
Factor Arrows
51,499,015
Factor Arrows
5299,803
Factor Arrows
742,829

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, 7, 42829

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 7 x 42,829 = 67,455,675

This can also be written as 32 x 52 x 71 x 42,8291 = 67,455,675

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


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