Q: What are the prime factors of the number 158,994?

 A: 2, 3, 11, 73

Why are those the prime factors of the number 158,994?

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 158,994

158,994
Factor Arrows
279,497
Factor Arrows
326,499
Factor Arrows
38,833
Factor Arrows
11803
Factor Arrows
1173

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, 73

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 11 x 73 = 158,994

This can also be written as 21 x 32 x 112 x 731 = 158,994

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


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