Q: What are the prime factors of the number 114,671,106?

 A: 2, 3, 11, 71, 2719

Why are those the prime factors of the number 114,671,106?

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 114,671,106

114,671,106
Factor Arrows
257,335,553
Factor Arrows
319,111,851
Factor Arrows
36,370,617
Factor Arrows
32,123,539
Factor Arrows
11193,049
Factor Arrows
712,719

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, 11, 71, 2719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 71 x 2,719 = 114,671,106

This can also be written as 21 x 33 x 111 x 711 x 2,7191 = 114,671,106

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


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