Q: What are the factor combinations of the number 231,770,057?

 A:
Positive:   1 x 23177005723 x 1007695971 x 32643671633 x 1419291999 x 1159435041 x 45977
Negative: -1 x -231770057-23 x -10076959-71 x -3264367-1633 x -141929-1999 x -115943-5041 x -45977


How do I find the factor combinations of the number 231,770,057?

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 231,770,057, 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.

1 231,770,057
-1 -231,770,057

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 231,770,057.

Example:
1 x 231,770,057 = 231,770,057
and
-1 x -231,770,057 = 231,770,057
Notice both answers equal 231,770,057

With that explanation out of the way, let's continue. Next, we take the number 231,770,057 and divide it by 2:

231,770,057 ÷ 2 = 115,885,028.5

If the quotient is a whole number, then 2 and 115,885,028.5 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:

1 231,770,057
-1 -231,770,057

Now, we try dividing 231,770,057 by 3:

231,770,057 ÷ 3 = 77,256,685.6667

If the quotient is a whole number, then 3 and 77,256,685.6667 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:

1 231,770,057
-1 -231,770,057

Let's try dividing by 4:

231,770,057 ÷ 4 = 57,942,514.25

If the quotient is a whole number, then 4 and 57,942,514.25 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:

1 231,770,057
-1 231,770,057
Keep dividing by the next highest number until you cannot divide anymore.

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

123711,6331,9995,04145,977115,943141,9293,264,36710,076,959231,770,057
-1-23-71-1,633-1,999-5,041-45,977-115,943-141,929-3,264,367-10,076,959-231,770,057

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