Q: What are the prime factors of the number 96,326,284?

 A: 2, 17, 29, 48847

Why are those the prime factors of the number 96,326,284?

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 96,326,284

96,326,284
Factor Arrows
248,163,142
Factor Arrows
224,081,571
Factor Arrows
171,416,563
Factor Arrows
2948,847

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, 17, 29, 48847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 29 x 48,847 = 96,326,284

This can also be written as 22 x 171 x 291 x 48,8471 = 96,326,284

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


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