Q: What are the prime factors of the number 1,281,808?

 A: 2, 11, 7283

Why are those the prime factors of the number 1,281,808?

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 1,281,808

1,281,808
Factor Arrows
2640,904
Factor Arrows
2320,452
Factor Arrows
2160,226
Factor Arrows
280,113
Factor Arrows
117,283

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, 11, 7283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 7,283 = 1,281,808

This can also be written as 24 x 111 x 7,2831 = 1,281,808

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


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