Q: What are the prime factors of the number 960,696?

 A: 2, 3, 11, 1213

Why are those the prime factors of the number 960,696?

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 960,696

960,696
Factor Arrows
2480,348
Factor Arrows
2240,174
Factor Arrows
2120,087
Factor Arrows
340,029
Factor Arrows
313,343
Factor Arrows
111,213

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, 1213

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 11 x 1,213 = 960,696

This can also be written as 23 x 32 x 111 x 1,2131 = 960,696

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


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