Q: What are the prime factors of the number 16,827,920?

 A: 2, 5, 19, 11071

Why are those the prime factors of the number 16,827,920?

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 16,827,920

16,827,920
Factor Arrows
28,413,960
Factor Arrows
24,206,980
Factor Arrows
22,103,490
Factor Arrows
21,051,745
Factor Arrows
5210,349
Factor Arrows
1911,071

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, 5, 19, 11071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 11,071 = 16,827,920

This can also be written as 24 x 51 x 191 x 11,0711 = 16,827,920

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


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