Q: What are the prime factors of the number 114,567,156?

 A: 2, 3, 11, 797

Why are those the prime factors of the number 114,567,156?

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 114,567,156

114,567,156
Factor Arrows
257,283,578
Factor Arrows
228,641,789
Factor Arrows
39,547,263
Factor Arrows
33,182,421
Factor Arrows
31,060,807
Factor Arrows
1196,437
Factor Arrows
118,767
Factor Arrows
11797

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, 797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 11 x 11 x 797 = 114,567,156

This can also be written as 22 x 33 x 113 x 7971 = 114,567,156

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


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