Q: What are the prime factors of the number 1,240,192?

 A: 2, 9689

Why are those the prime factors of the number 1,240,192?

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 1,240,192

1,240,192
Factor Arrows
2620,096
Factor Arrows
2310,048
Factor Arrows
2155,024
Factor Arrows
277,512
Factor Arrows
238,756
Factor Arrows
219,378
Factor Arrows
29,689

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, 9689

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 2 x 9,689 = 1,240,192

This can also be written as 27 x 9,6891 = 1,240,192

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


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