Q: What are the prime factors of the number 666,101,464?

 A: 2, 7, 29, 31, 101, 131

Why are those the prime factors of the number 666,101,464?

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 666,101,464

666,101,464
Factor Arrows
2333,050,732
Factor Arrows
2166,525,366
Factor Arrows
283,262,683
Factor Arrows
711,894,669
Factor Arrows
29410,161
Factor Arrows
3113,231
Factor Arrows
101131

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, 29, 31, 101, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 29 x 31 x 101 x 131 = 666,101,464

This can also be written as 23 x 71 x 291 x 311 x 1011 x 1311 = 666,101,464

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


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