Q: What are the prime factors of the number 67,115,576?

 A: 2, 11, 163, 4679

Why are those the prime factors of the number 67,115,576?

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 67,115,576

67,115,576
Factor Arrows
233,557,788
Factor Arrows
216,778,894
Factor Arrows
28,389,447
Factor Arrows
11762,677
Factor Arrows
1634,679

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, 11, 163, 4679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 163 x 4,679 = 67,115,576

This can also be written as 23 x 111 x 1631 x 4,6791 = 67,115,576

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


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