Q: What are the prime factors of the number 1,116,612?

 A: 2, 3, 7, 211

Why are those the prime factors of the number 1,116,612?

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 1,116,612

1,116,612
Factor Arrows
2558,306
Factor Arrows
2279,153
Factor Arrows
393,051
Factor Arrows
331,017
Factor Arrows
310,339
Factor Arrows
71,477
Factor Arrows
7211

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, 7, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 7 x 211 = 1,116,612

This can also be written as 22 x 33 x 72 x 2111 = 1,116,612

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


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