Q: What are the prime factors of the number 16,710,834?

 A: 2, 3, 7, 23, 17299

Why are those the prime factors of the number 16,710,834?

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 16,710,834

16,710,834
Factor Arrows
28,355,417
Factor Arrows
32,785,139
Factor Arrows
7397,877
Factor Arrows
2317,299

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, 23, 17299

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 23 x 17,299 = 16,710,834

This can also be written as 21 x 31 x 71 x 231 x 17,2991 = 16,710,834

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


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