Q: What are the prime factors of the number 104,615,232?

 A: 2, 3, 47, 11593

Why are those the prime factors of the number 104,615,232?

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 104,615,232

104,615,232
Factor Arrows
252,307,616
Factor Arrows
226,153,808
Factor Arrows
213,076,904
Factor Arrows
26,538,452
Factor Arrows
23,269,226
Factor Arrows
21,634,613
Factor Arrows
3544,871
Factor Arrows
4711,593

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, 47, 11593

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 3 x 47 x 11,593 = 104,615,232

This can also be written as 26 x 31 x 471 x 11,5931 = 104,615,232

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


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