Q: What are the prime factors of the number 969,045?

 A: 3, 5, 7, 11, 839

Why are those the prime factors of the number 969,045?

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 969,045

969,045
Factor Arrows
3323,015
Factor Arrows
564,603
Factor Arrows
79,229
Factor Arrows
11839

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, 7, 11, 839

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 839 = 969,045

This can also be written as 31 x 51 x 71 x 111 x 8391 = 969,045

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


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