Q: What are the prime factors of the number 1,096,296?

 A: 2, 3, 17, 2687

Why are those the prime factors of the number 1,096,296?

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 1,096,296

1,096,296
Factor Arrows
2548,148
Factor Arrows
2274,074
Factor Arrows
2137,037
Factor Arrows
345,679
Factor Arrows
172,687

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, 17, 2687

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 17 x 2,687 = 1,096,296

This can also be written as 23 x 31 x 171 x 2,6871 = 1,096,296

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


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