Q: What are the prime factors of the number 67,771,088?

 A: 2, 7, 11, 55009

Why are those the prime factors of the number 67,771,088?

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 67,771,088

67,771,088
Factor Arrows
233,885,544
Factor Arrows
216,942,772
Factor Arrows
28,471,386
Factor Arrows
24,235,693
Factor Arrows
7605,099
Factor Arrows
1155,009

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, 11, 55009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 11 x 55,009 = 67,771,088

This can also be written as 24 x 71 x 111 x 55,0091 = 67,771,088

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


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