Q: What are the prime factors of the number 2,404,440?

 A: 2, 3, 5, 6679

Why are those the prime factors of the number 2,404,440?

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 2,404,440

2,404,440
Factor Arrows
21,202,220
Factor Arrows
2601,110
Factor Arrows
2300,555
Factor Arrows
3100,185
Factor Arrows
333,395
Factor Arrows
56,679

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, 6679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 6,679 = 2,404,440

This can also be written as 23 x 32 x 51 x 6,6791 = 2,404,440

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


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