Q: What are the prime factors of the number 1,496,040?

 A: 2, 3, 5, 7, 13, 137

Why are those the prime factors of the number 1,496,040?

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 1,496,040

1,496,040
Factor Arrows
2748,020
Factor Arrows
2374,010
Factor Arrows
2187,005
Factor Arrows
362,335
Factor Arrows
512,467
Factor Arrows
71,781
Factor Arrows
13137

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, 7, 13, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 7 x 13 x 137 = 1,496,040

This can also be written as 23 x 31 x 51 x 71 x 131 x 1371 = 1,496,040

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


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