Q: What are the prime factors of the number 620,960?

 A: 2, 5, 3881

Why are those the prime factors of the number 620,960?

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 620,960

620,960
Factor Arrows
2310,480
Factor Arrows
2155,240
Factor Arrows
277,620
Factor Arrows
238,810
Factor Arrows
219,405
Factor Arrows
53,881

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, 5, 3881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 3,881 = 620,960

This can also be written as 25 x 51 x 3,8811 = 620,960

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


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