Q: What are the prime factors of the number 103,510,512?

 A: 2, 3, 7, 29, 3541

Why are those the prime factors of the number 103,510,512?

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 103,510,512

103,510,512
Factor Arrows
251,755,256
Factor Arrows
225,877,628
Factor Arrows
212,938,814
Factor Arrows
26,469,407
Factor Arrows
32,156,469
Factor Arrows
3718,823
Factor Arrows
7102,689
Factor Arrows
293,541

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, 29, 3541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 3,541 = 103,510,512

This can also be written as 24 x 32 x 71 x 291 x 3,5411 = 103,510,512

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


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