Q: What are the prime factors of the number 1,440,104?

 A: 2, 17, 10589

Why are those the prime factors of the number 1,440,104?

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 1,440,104

1,440,104
Factor Arrows
2720,052
Factor Arrows
2360,026
Factor Arrows
2180,013
Factor Arrows
1710,589

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, 17, 10589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 10,589 = 1,440,104

This can also be written as 23 x 171 x 10,5891 = 1,440,104

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


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