Q: What are the prime factors of the number 16,462,950?

 A: 2, 3, 5, 7, 15679

Why are those the prime factors of the number 16,462,950?

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 16,462,950

16,462,950
Factor Arrows
28,231,475
Factor Arrows
32,743,825
Factor Arrows
5548,765
Factor Arrows
5109,753
Factor Arrows
715,679

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, 7, 15679

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 15,679 = 16,462,950

This can also be written as 21 x 31 x 52 x 71 x 15,6791 = 16,462,950

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


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