Q: What are the prime factors of the number 956,760?

 A: 2, 3, 5, 7, 17, 67

Why are those the prime factors of the number 956,760?

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 956,760

956,760
Factor Arrows
2478,380
Factor Arrows
2239,190
Factor Arrows
2119,595
Factor Arrows
339,865
Factor Arrows
57,973
Factor Arrows
71,139
Factor Arrows
1767

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, 5, 7, 17, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 7 x 17 x 67 = 956,760

This can also be written as 23 x 31 x 51 x 71 x 171 x 671 = 956,760

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


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