Q: What are the prime factors of the number 16,460,856?

 A: 2, 3, 37, 167

Why are those the prime factors of the number 16,460,856?

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 16,460,856

16,460,856
Factor Arrows
28,230,428
Factor Arrows
24,115,214
Factor Arrows
22,057,607
Factor Arrows
3685,869
Factor Arrows
3228,623
Factor Arrows
376,179
Factor Arrows
37167

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, 37, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 37 x 37 x 167 = 16,460,856

This can also be written as 23 x 32 x 372 x 1671 = 16,460,856

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


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