Q: What are the prime factors of the number 163,132,544?

 A: 2, 17, 61, 1229

Why are those the prime factors of the number 163,132,544?

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 163,132,544

163,132,544
Factor Arrows
281,566,272
Factor Arrows
240,783,136
Factor Arrows
220,391,568
Factor Arrows
210,195,784
Factor Arrows
25,097,892
Factor Arrows
22,548,946
Factor Arrows
21,274,473
Factor Arrows
1774,969
Factor Arrows
611,229

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, 17, 61, 1229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 61 x 1,229 = 163,132,544

This can also be written as 27 x 171 x 611 x 1,2291 = 163,132,544

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


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