Q: What are the prime factors of the number 16,301,100?

 A: 2, 3, 5, 67, 811

Why are those the prime factors of the number 16,301,100?

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 16,301,100

16,301,100
Factor Arrows
28,150,550
Factor Arrows
24,075,275
Factor Arrows
31,358,425
Factor Arrows
5271,685
Factor Arrows
554,337
Factor Arrows
67811

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, 67, 811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 67 x 811 = 16,301,100

This can also be written as 22 x 31 x 52 x 671 x 8111 = 16,301,100

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


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