Q: What are the prime factors of the number 23,443,155?

 A: 3, 5, 211, 823

Why are those the prime factors of the number 23,443,155?

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 23,443,155

23,443,155
Factor Arrows
37,814,385
Factor Arrows
32,604,795
Factor Arrows
3868,265
Factor Arrows
5173,653
Factor Arrows
211823

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:

3, 5, 211, 823

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 211 x 823 = 23,443,155

This can also be written as 33 x 51 x 2111 x 8231 = 23,443,155

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


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