Q: What are the prime factors of the number 32,102,010?

 A: 2, 3, 5, 103, 3463

Why are those the prime factors of the number 32,102,010?

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 32,102,010

32,102,010
Factor Arrows
216,051,005
Factor Arrows
35,350,335
Factor Arrows
31,783,445
Factor Arrows
5356,689
Factor Arrows
1033,463

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, 103, 3463

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 103 x 3,463 = 32,102,010

This can also be written as 21 x 32 x 51 x 1031 x 3,4631 = 32,102,010

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


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