Q: What are the prime factors of the number 273,562,884?

 A: 2, 3, 7, 155081

Why are those the prime factors of the number 273,562,884?

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 273,562,884

273,562,884
Factor Arrows
2136,781,442
Factor Arrows
268,390,721
Factor Arrows
322,796,907
Factor Arrows
37,598,969
Factor Arrows
71,085,567
Factor Arrows
7155,081

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, 7, 155081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 155,081 = 273,562,884

This can also be written as 22 x 32 x 72 x 155,0811 = 273,562,884

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


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