Q: What are the prime factors of the number 32,102,100?

 A: 2, 3, 5, 53, 673

Why are those the prime factors of the number 32,102,100?

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 32,102,100

32,102,100
Factor Arrows
216,051,050
Factor Arrows
28,025,525
Factor Arrows
32,675,175
Factor Arrows
3891,725
Factor Arrows
5178,345
Factor Arrows
535,669
Factor Arrows
53673

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, 53, 673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 53 x 673 = 32,102,100

This can also be written as 22 x 32 x 52 x 531 x 6731 = 32,102,100

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


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