Q: What are the prime factors of the number 88,865,536?

 A: 2, 347131

Why are those the prime factors of the number 88,865,536?

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 88,865,536

88,865,536
Factor Arrows
244,432,768
Factor Arrows
222,216,384
Factor Arrows
211,108,192
Factor Arrows
25,554,096
Factor Arrows
22,777,048
Factor Arrows
21,388,524
Factor Arrows
2694,262
Factor Arrows
2347,131

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, 347131

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 2 x 2 x 347,131 = 88,865,536

This can also be written as 28 x 347,1311 = 88,865,536

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


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