Q: What are the prime factors of the number 67,550,404?

 A: 2, 73, 3169

Why are those the prime factors of the number 67,550,404?

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 67,550,404

67,550,404
Factor Arrows
233,775,202
Factor Arrows
216,887,601
Factor Arrows
73231,337
Factor Arrows
733,169

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, 73, 3169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 73 x 73 x 3,169 = 67,550,404

This can also be written as 22 x 732 x 3,1691 = 67,550,404

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


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