Q: What are the prime factors of the number 67,248,804?

 A: 2, 3, 7, 17, 47093

Why are those the prime factors of the number 67,248,804?

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 67,248,804

67,248,804
Factor Arrows
233,624,402
Factor Arrows
216,812,201
Factor Arrows
35,604,067
Factor Arrows
7800,581
Factor Arrows
1747,093

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, 3, 7, 17, 47093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 17 x 47,093 = 67,248,804

This can also be written as 22 x 31 x 71 x 171 x 47,0931 = 67,248,804

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


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