Q: What are the prime factors of the number 163,013,436?

 A: 2, 3, 4528151

Why are those the prime factors of the number 163,013,436?

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 163,013,436

163,013,436
Factor Arrows
281,506,718
Factor Arrows
240,753,359
Factor Arrows
313,584,453
Factor Arrows
34,528,151

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, 4528151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 4,528,151 = 163,013,436

This can also be written as 22 x 32 x 4,528,1511 = 163,013,436

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


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