Q: What are the prime factors of the number 32,325,200?

 A: 2, 5, 211, 383

Why are those the prime factors of the number 32,325,200?

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 32,325,200

32,325,200
Factor Arrows
216,162,600
Factor Arrows
28,081,300
Factor Arrows
24,040,650
Factor Arrows
22,020,325
Factor Arrows
5404,065
Factor Arrows
580,813
Factor Arrows
211383

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, 5, 211, 383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 211 x 383 = 32,325,200

This can also be written as 24 x 52 x 2111 x 3831 = 32,325,200

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


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