Q: What are the prime factors of the number 16,870,848?

 A: 2, 3, 87869

Why are those the prime factors of the number 16,870,848?

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 16,870,848

16,870,848
Factor Arrows
28,435,424
Factor Arrows
24,217,712
Factor Arrows
22,108,856
Factor Arrows
21,054,428
Factor Arrows
2527,214
Factor Arrows
2263,607
Factor Arrows
387,869

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, 87869

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 87,869 = 16,870,848

This can also be written as 26 x 31 x 87,8691 = 16,870,848

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


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