Q: What are the prime factors of the number 1,061,208?

 A: 2, 3, 17

Why are those the prime factors of the number 1,061,208?

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 1,061,208

1,061,208
Factor Arrows
2530,604
Factor Arrows
2265,302
Factor Arrows
2132,651
Factor Arrows
344,217
Factor Arrows
314,739
Factor Arrows
34,913
Factor Arrows
17289
Factor Arrows
1717

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

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 17 x 17 x 17 = 1,061,208

This can also be written as 23 x 33 x 173 = 1,061,208

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


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