Q: What are the prime factors of the number 1,279,480?

 A: 2, 5, 29, 1103

Why are those the prime factors of the number 1,279,480?

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 1,279,480

1,279,480
Factor Arrows
2639,740
Factor Arrows
2319,870
Factor Arrows
2159,935
Factor Arrows
531,987
Factor Arrows
291,103

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, 5, 29, 1103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 29 x 1,103 = 1,279,480

This can also be written as 23 x 51 x 291 x 1,1031 = 1,279,480

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


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