Q: What are the prime factors of the number 102,024,512?

 A: 2, 1594133

Why are those the prime factors of the number 102,024,512?

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 102,024,512

102,024,512
Factor Arrows
251,012,256
Factor Arrows
225,506,128
Factor Arrows
212,753,064
Factor Arrows
26,376,532
Factor Arrows
23,188,266
Factor Arrows
21,594,133

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, 1594133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 1,594,133 = 102,024,512

This can also be written as 26 x 1,594,1331 = 102,024,512

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


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