Q: What are the prime factors of the number 16,190,976?

 A: 2, 3, 83, 127

Why are those the prime factors of the number 16,190,976?

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 16,190,976

16,190,976
Factor Arrows
28,095,488
Factor Arrows
24,047,744
Factor Arrows
22,023,872
Factor Arrows
21,011,936
Factor Arrows
2505,968
Factor Arrows
2252,984
Factor Arrows
2126,492
Factor Arrows
263,246
Factor Arrows
231,623
Factor Arrows
310,541
Factor Arrows
83127

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, 83, 127

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 2 x 2 x 2 x 3 x 83 x 127 = 16,190,976

This can also be written as 29 x 31 x 831 x 1271 = 16,190,976

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


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