Q: What are the prime factors of the number 67,020,732?

 A: 2, 3, 17, 41, 2671

Why are those the prime factors of the number 67,020,732?

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 67,020,732

67,020,732
Factor Arrows
233,510,366
Factor Arrows
216,755,183
Factor Arrows
35,585,061
Factor Arrows
31,861,687
Factor Arrows
17109,511
Factor Arrows
412,671

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, 17, 41, 2671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17 x 41 x 2,671 = 67,020,732

This can also be written as 22 x 32 x 171 x 411 x 2,6711 = 67,020,732

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


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