Q: What are the prime factors of the number 96,230,828?

 A: 2, 53, 199, 2281

Why are those the prime factors of the number 96,230,828?

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 96,230,828

96,230,828
Factor Arrows
248,115,414
Factor Arrows
224,057,707
Factor Arrows
53453,919
Factor Arrows
1992,281

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, 53, 199, 2281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 53 x 199 x 2,281 = 96,230,828

This can also be written as 22 x 531 x 1991 x 2,2811 = 96,230,828

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


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