Q: What are the prime factors of the number 12,472,866?

 A: 2, 3, 7, 17, 647

Why are those the prime factors of the number 12,472,866?

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 12,472,866

12,472,866
Factor Arrows
26,236,433
Factor Arrows
32,078,811
Factor Arrows
3692,937
Factor Arrows
3230,979
Factor Arrows
376,993
Factor Arrows
710,999
Factor Arrows
17647

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, 17, 647

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 17 x 647 = 12,472,866

This can also be written as 21 x 34 x 71 x 171 x 6471 = 12,472,866

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


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