Q: What are the prime factors of the number 118,248,156?

 A: 2, 3, 13, 252667

Why are those the prime factors of the number 118,248,156?

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 118,248,156

118,248,156
Factor Arrows
259,124,078
Factor Arrows
229,562,039
Factor Arrows
39,854,013
Factor Arrows
33,284,671
Factor Arrows
13252,667

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, 13, 252667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 252,667 = 118,248,156

This can also be written as 22 x 32 x 131 x 252,6671 = 118,248,156

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


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