Q: What are the prime factors of the number 16,703,730?

 A: 2, 3, 5, 31, 5987

Why are those the prime factors of the number 16,703,730?

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 16,703,730

16,703,730
Factor Arrows
28,351,865
Factor Arrows
32,783,955
Factor Arrows
3927,985
Factor Arrows
5185,597
Factor Arrows
315,987

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, 5, 31, 5987

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 31 x 5,987 = 16,703,730

This can also be written as 21 x 32 x 51 x 311 x 5,9871 = 16,703,730

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


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