Q: What are the prime factors of the number 73,960,796?

 A: 2, 7, 13, 29027

Why are those the prime factors of the number 73,960,796?

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 73,960,796

73,960,796
Factor Arrows
236,980,398
Factor Arrows
218,490,199
Factor Arrows
72,641,457
Factor Arrows
7377,351
Factor Arrows
1329,027

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, 7, 13, 29027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 13 x 29,027 = 73,960,796

This can also be written as 22 x 72 x 131 x 29,0271 = 73,960,796

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


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