Q: What are the prime factors of the number 163,563,345?

 A: 3, 5, 11, 330431

Why are those the prime factors of the number 163,563,345?

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 163,563,345

163,563,345
Factor Arrows
354,521,115
Factor Arrows
318,173,705
Factor Arrows
53,634,741
Factor Arrows
11330,431

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, 11, 330431

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 330,431 = 163,563,345

This can also be written as 32 x 51 x 111 x 330,4311 = 163,563,345

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


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