Q: What are the prime factors of the number 32,311,640?

 A: 2, 5, 853, 947

Why are those the prime factors of the number 32,311,640?

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 32,311,640

32,311,640
Factor Arrows
216,155,820
Factor Arrows
28,077,910
Factor Arrows
24,038,955
Factor Arrows
5807,791
Factor Arrows
853947

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, 853, 947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 853 x 947 = 32,311,640

This can also be written as 23 x 51 x 8531 x 9471 = 32,311,640

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


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