Q: What are the prime factors of the number 104,226,488?

 A: 2, 2963, 4397

Why are those the prime factors of the number 104,226,488?

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 104,226,488

104,226,488
Factor Arrows
252,113,244
Factor Arrows
226,056,622
Factor Arrows
213,028,311
Factor Arrows
2,9634,397

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, 2963, 4397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2,963 x 4,397 = 104,226,488

This can also be written as 23 x 2,9631 x 4,3971 = 104,226,488

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


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