Q: What are the prime factors of the number 31,660,545?

 A: 3, 5, 7, 17, 17737

Why are those the prime factors of the number 31,660,545?

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 31,660,545

31,660,545
Factor Arrows
310,553,515
Factor Arrows
52,110,703
Factor Arrows
7301,529
Factor Arrows
1717,737

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, 7, 17, 17737

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 17 x 17,737 = 31,660,545

This can also be written as 31 x 51 x 71 x 171 x 17,7371 = 31,660,545

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


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