Q: What are the prime factors of the number 67,752,447?

 A: 3, 7, 65843

Why are those the prime factors of the number 67,752,447?

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 67,752,447

67,752,447
Factor Arrows
322,584,149
Factor Arrows
73,226,307
Factor Arrows
7460,901
Factor Arrows
765,843

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, 7, 65843

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 7 x 65,843 = 67,752,447

This can also be written as 31 x 73 x 65,8431 = 67,752,447

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


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