Q: What are the factor combinations of the number 231,010,439?

 A:
Positive:   1 x 23101043911 x 2100094967 x 3447917307 x 752477737 x 3134471021 x 2262593377 x 6840711231 x 20569
Negative: -1 x -231010439-11 x -21000949-67 x -3447917-307 x -752477-737 x -313447-1021 x -226259-3377 x -68407-11231 x -20569


How do I find the factor combinations of the number 231,010,439?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 231,010,439, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 231,010,439
-1 -231,010,439

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,010,439.

Example:
1 x 231,010,439 = 231,010,439
and
-1 x -231,010,439 = 231,010,439
Notice both answers equal 231,010,439

With that explanation out of the way, let's continue. Next, we take the number 231,010,439 and divide it by 2:

231,010,439 ÷ 2 = 115,505,219.5

If the quotient is a whole number, then 2 and 115,505,219.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,010,439
-1 -231,010,439

Now, we try dividing 231,010,439 by 3:

231,010,439 ÷ 3 = 77,003,479.6667

If the quotient is a whole number, then 3 and 77,003,479.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,010,439
-1 -231,010,439

Let's try dividing by 4:

231,010,439 ÷ 4 = 57,752,609.75

If the quotient is a whole number, then 4 and 57,752,609.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,010,439
-1 231,010,439
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

111673077371,0213,37711,23120,56968,407226,259313,447752,4773,447,91721,000,949231,010,439
-1-11-67-307-737-1,021-3,377-11,231-20,569-68,407-226,259-313,447-752,477-3,447,917-21,000,949-231,010,439

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