Q: What are the prime factors of the number 1,126,680?

 A: 2, 3, 5, 41, 229

Why are those the prime factors of the number 1,126,680?

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 1,126,680

1,126,680
Factor Arrows
2563,340
Factor Arrows
2281,670
Factor Arrows
2140,835
Factor Arrows
346,945
Factor Arrows
59,389
Factor Arrows
41229

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, 41, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 41 x 229 = 1,126,680

This can also be written as 23 x 31 x 51 x 411 x 2291 = 1,126,680

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


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