Q: What are the prime factors of the number 3,246,240?

 A: 2, 3, 5, 6763

Why are those the prime factors of the number 3,246,240?

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 3,246,240

3,246,240
Factor Arrows
21,623,120
Factor Arrows
2811,560
Factor Arrows
2405,780
Factor Arrows
2202,890
Factor Arrows
2101,445
Factor Arrows
333,815
Factor Arrows
56,763

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, 6763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 6,763 = 3,246,240

This can also be written as 25 x 31 x 51 x 6,7631 = 3,246,240

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


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