Q: What are the prime factors of the number 105,750,032?

 A: 2, 79, 83663

Why are those the prime factors of the number 105,750,032?

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 105,750,032

105,750,032
Factor Arrows
252,875,016
Factor Arrows
226,437,508
Factor Arrows
213,218,754
Factor Arrows
26,609,377
Factor Arrows
7983,663

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, 79, 83663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 79 x 83,663 = 105,750,032

This can also be written as 24 x 791 x 83,6631 = 105,750,032

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


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