Q: What are the prime factors of the number 999,172?

 A: 2, 19, 13147

Why are those the prime factors of the number 999,172?

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 999,172

999,172
Factor Arrows
2499,586
Factor Arrows
2249,793
Factor Arrows
1913,147

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, 19, 13147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 13,147 = 999,172

This can also be written as 22 x 191 x 13,1471 = 999,172

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


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