Q: What are the prime factors of the number 969,608?

 A: 2, 19, 6379

Why are those the prime factors of the number 969,608?

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 969,608

969,608
Factor Arrows
2484,804
Factor Arrows
2242,402
Factor Arrows
2121,201
Factor Arrows
196,379

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, 6379

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 6,379 = 969,608

This can also be written as 23 x 191 x 6,3791 = 969,608

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


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