Q: What are the prime factors of the number 30,281,436?

 A: 2, 3, 131, 6421

Why are those the prime factors of the number 30,281,436?

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 30,281,436

30,281,436
Factor Arrows
215,140,718
Factor Arrows
27,570,359
Factor Arrows
32,523,453
Factor Arrows
3841,151
Factor Arrows
1316,421

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, 131, 6421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 131 x 6,421 = 30,281,436

This can also be written as 22 x 32 x 1311 x 6,4211 = 30,281,436

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


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