Q: What are the prime factors of the number 103,441,176?

 A: 2, 3, 227, 6329

Why are those the prime factors of the number 103,441,176?

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 103,441,176

103,441,176
Factor Arrows
251,720,588
Factor Arrows
225,860,294
Factor Arrows
212,930,147
Factor Arrows
34,310,049
Factor Arrows
31,436,683
Factor Arrows
2276,329

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, 227, 6329

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 227 x 6,329 = 103,441,176

This can also be written as 23 x 32 x 2271 x 6,3291 = 103,441,176

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


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