Q: What are the prime factors of the number 162,771,232?

 A: 2, 13, 373, 1049

Why are those the prime factors of the number 162,771,232?

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 162,771,232

162,771,232
Factor Arrows
281,385,616
Factor Arrows
240,692,808
Factor Arrows
220,346,404
Factor Arrows
210,173,202
Factor Arrows
25,086,601
Factor Arrows
13391,277
Factor Arrows
3731,049

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, 13, 373, 1049

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 373 x 1,049 = 162,771,232

This can also be written as 25 x 131 x 3731 x 1,0491 = 162,771,232

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


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