Q: What are the prime factors of the number 163,053,444?

 A: 2, 3, 487, 27901

Why are those the prime factors of the number 163,053,444?

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 163,053,444

163,053,444
Factor Arrows
281,526,722
Factor Arrows
240,763,361
Factor Arrows
313,587,787
Factor Arrows
48727,901

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, 487, 27901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 487 x 27,901 = 163,053,444

This can also be written as 22 x 31 x 4871 x 27,9011 = 163,053,444

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


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