Q: What are the prime factors of the number 98,039,160?

 A: 2, 3, 5, 30259

Why are those the prime factors of the number 98,039,160?

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 98,039,160

98,039,160
Factor Arrows
249,019,580
Factor Arrows
224,509,790
Factor Arrows
212,254,895
Factor Arrows
34,084,965
Factor Arrows
31,361,655
Factor Arrows
3453,885
Factor Arrows
3151,295
Factor Arrows
530,259

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, 5, 30259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 30,259 = 98,039,160

This can also be written as 23 x 34 x 51 x 30,2591 = 98,039,160

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


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