Q: What are the prime factors of the number 98,864,404?

 A: 2, 89, 331, 839

Why are those the prime factors of the number 98,864,404?

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 98,864,404

98,864,404
Factor Arrows
249,432,202
Factor Arrows
224,716,101
Factor Arrows
89277,709
Factor Arrows
331839

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, 89, 331, 839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 89 x 331 x 839 = 98,864,404

This can also be written as 22 x 891 x 3311 x 8391 = 98,864,404

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


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