Q: What are the prime factors of the number 34,500,512?

 A: 2, 727, 1483

Why are those the prime factors of the number 34,500,512?

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 34,500,512

34,500,512
Factor Arrows
217,250,256
Factor Arrows
28,625,128
Factor Arrows
24,312,564
Factor Arrows
22,156,282
Factor Arrows
21,078,141
Factor Arrows
7271,483

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, 727, 1483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 727 x 1,483 = 34,500,512

This can also be written as 25 x 7271 x 1,4831 = 34,500,512

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


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