Q: What are the prime factors of the number 163,177,700?

 A: 2, 5, 7, 19, 12269

Why are those the prime factors of the number 163,177,700?

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 163,177,700

163,177,700
Factor Arrows
281,588,850
Factor Arrows
240,794,425
Factor Arrows
58,158,885
Factor Arrows
51,631,777
Factor Arrows
7233,111
Factor Arrows
1912,269

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, 5, 7, 19, 12269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 19 x 12,269 = 163,177,700

This can also be written as 22 x 52 x 71 x 191 x 12,2691 = 163,177,700

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


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