Q: What are the prime factors of the number 962,760?

 A: 2, 3, 5, 71, 113

Why are those the prime factors of the number 962,760?

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 962,760

962,760
Factor Arrows
2481,380
Factor Arrows
2240,690
Factor Arrows
2120,345
Factor Arrows
340,115
Factor Arrows
58,023
Factor Arrows
71113

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, 71, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 71 x 113 = 962,760

This can also be written as 23 x 31 x 51 x 711 x 1131 = 962,760

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


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