Q: What are the prime factors of the number 1,307,840?

 A: 2, 5, 61, 67

Why are those the prime factors of the number 1,307,840?

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 1,307,840

1,307,840
Factor Arrows
2653,920
Factor Arrows
2326,960
Factor Arrows
2163,480
Factor Arrows
281,740
Factor Arrows
240,870
Factor Arrows
220,435
Factor Arrows
54,087
Factor Arrows
6167

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, 61, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 61 x 67 = 1,307,840

This can also be written as 26 x 51 x 611 x 671 = 1,307,840

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


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