Q: What are the prime factors of the number 96,017,300?

 A: 2, 5, 960173

Why are those the prime factors of the number 96,017,300?

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 96,017,300

96,017,300
Factor Arrows
248,008,650
Factor Arrows
224,004,325
Factor Arrows
54,800,865
Factor Arrows
5960,173

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, 5, 960173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 960,173 = 96,017,300

This can also be written as 22 x 52 x 960,1731 = 96,017,300

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


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