Q: What are the prime factors of the number 88,887,348?

 A: 2, 3, 11, 74821

Why are those the prime factors of the number 88,887,348?

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 88,887,348

88,887,348
Factor Arrows
244,443,674
Factor Arrows
222,221,837
Factor Arrows
37,407,279
Factor Arrows
32,469,093
Factor Arrows
3823,031
Factor Arrows
1174,821

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, 11, 74821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 74,821 = 88,887,348

This can also be written as 22 x 33 x 111 x 74,8211 = 88,887,348

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


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