Q: What are the prime factors of the number 16,706,880?

 A: 2, 3, 5, 5801

Why are those the prime factors of the number 16,706,880?

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 16,706,880

16,706,880
Factor Arrows
28,353,440
Factor Arrows
24,176,720
Factor Arrows
22,088,360
Factor Arrows
21,044,180
Factor Arrows
2522,090
Factor Arrows
2261,045
Factor Arrows
387,015
Factor Arrows
329,005
Factor Arrows
55,801

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, 5801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5,801 = 16,706,880

This can also be written as 26 x 32 x 51 x 5,8011 = 16,706,880

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


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