Q: What are the prime factors of the number 162,745,452?

 A: 2, 3, 263, 17189

Why are those the prime factors of the number 162,745,452?

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 162,745,452

162,745,452
Factor Arrows
281,372,726
Factor Arrows
240,686,363
Factor Arrows
313,562,121
Factor Arrows
34,520,707
Factor Arrows
26317,189

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, 263, 17189

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 263 x 17,189 = 162,745,452

This can also be written as 22 x 32 x 2631 x 17,1891 = 162,745,452

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


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