Q: What are the prime factors of the number 115,673,670?

 A: 2, 3, 5, 7, 23, 887

Why are those the prime factors of the number 115,673,670?

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 115,673,670

115,673,670
Factor Arrows
257,836,835
Factor Arrows
319,278,945
Factor Arrows
36,426,315
Factor Arrows
32,142,105
Factor Arrows
3714,035
Factor Arrows
5142,807
Factor Arrows
720,401
Factor Arrows
23887

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, 7, 23, 887

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 7 x 23 x 887 = 115,673,670

This can also be written as 21 x 34 x 51 x 71 x 231 x 8871 = 115,673,670

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


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