Q: What are the prime factors of the number 162,360,624?

 A: 2, 3, 19, 53, 3359

Why are those the prime factors of the number 162,360,624?

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 162,360,624

162,360,624
Factor Arrows
281,180,312
Factor Arrows
240,590,156
Factor Arrows
220,295,078
Factor Arrows
210,147,539
Factor Arrows
33,382,513
Factor Arrows
19178,027
Factor Arrows
533,359

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, 19, 53, 3359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 53 x 3,359 = 162,360,624

This can also be written as 24 x 31 x 191 x 531 x 3,3591 = 162,360,624

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


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