Q: What are the prime factors of the number 368,775?

 A: 3, 5, 11, 149

Why are those the prime factors of the number 368,775?

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 368,775

368,775
Factor Arrows
3122,925
Factor Arrows
340,975
Factor Arrows
58,195
Factor Arrows
51,639
Factor Arrows
11149

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:

3, 5, 11, 149

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 11 x 149 = 368,775

This can also be written as 32 x 52 x 111 x 1491 = 368,775

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


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