Q: What are the prime factors of the number 105,032,232?

 A: 2, 3, 701, 2081

Why are those the prime factors of the number 105,032,232?

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 105,032,232

105,032,232
Factor Arrows
252,516,116
Factor Arrows
226,258,058
Factor Arrows
213,129,029
Factor Arrows
34,376,343
Factor Arrows
31,458,781
Factor Arrows
7012,081

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, 701, 2081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 701 x 2,081 = 105,032,232

This can also be written as 23 x 32 x 7011 x 2,0811 = 105,032,232

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


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