Q: What are the prime factors of the number 1,960,080?

 A: 2, 3, 5, 8167

Why are those the prime factors of the number 1,960,080?

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 1,960,080

1,960,080
Factor Arrows
2980,040
Factor Arrows
2490,020
Factor Arrows
2245,010
Factor Arrows
2122,505
Factor Arrows
340,835
Factor Arrows
58,167

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, 8167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 8,167 = 1,960,080

This can also be written as 24 x 31 x 51 x 8,1671 = 1,960,080

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


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