Q: What are the prime factors of the number 1,060,695?

 A: 3, 5, 97

Why are those the prime factors of the number 1,060,695?

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 1,060,695

1,060,695
Factor Arrows
3353,565
Factor Arrows
3117,855
Factor Arrows
339,285
Factor Arrows
313,095
Factor Arrows
34,365
Factor Arrows
31,455
Factor Arrows
3485
Factor Arrows
597

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:

3, 5, 97

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 97 = 1,060,695

This can also be written as 37 x 51 x 971 = 1,060,695

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


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