Q: What are the prime factors of the number 32,061,204?

 A: 2, 3, 7, 42409

Why are those the prime factors of the number 32,061,204?

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 32,061,204

32,061,204
Factor Arrows
216,030,602
Factor Arrows
28,015,301
Factor Arrows
32,671,767
Factor Arrows
3890,589
Factor Arrows
3296,863
Factor Arrows
742,409

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, 7, 42409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 42,409 = 32,061,204

This can also be written as 22 x 33 x 71 x 42,4091 = 32,061,204

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


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