Q: What are the prime factors of the number 964,535?

 A: 5, 11, 13, 19, 71

Why are those the prime factors of the number 964,535?

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 964,535

964,535
Factor Arrows
5192,907
Factor Arrows
1117,537
Factor Arrows
131,349
Factor Arrows
1971

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:

5, 11, 13, 19, 71

We can check our work by multiplying all of the prime factors together: 5 x 11 x 13 x 19 x 71 = 964,535

This can also be written as 51 x 111 x 131 x 191 x 711 = 964,535

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


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