Q: What are the prime factors of the number 67,672,020?

 A: 2, 3, 5, 13, 101, 859

Why are those the prime factors of the number 67,672,020?

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 67,672,020

67,672,020
Factor Arrows
233,836,010
Factor Arrows
216,918,005
Factor Arrows
35,639,335
Factor Arrows
51,127,867
Factor Arrows
1386,759
Factor Arrows
101859

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, 5, 13, 101, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 101 x 859 = 67,672,020

This can also be written as 22 x 31 x 51 x 131 x 1011 x 8591 = 67,672,020

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


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