Q: What are the factor combinations of the number 231,740,525?

 A:
Positive:   1 x 2317405255 x 4634810523 x 1007567525 x 926962161 x 3799025115 x 2015135305 x 759805575 x 4030271403 x 1651751525 x 1519616607 x 350757015 x 33035
Negative: -1 x -231740525-5 x -46348105-23 x -10075675-25 x -9269621-61 x -3799025-115 x -2015135-305 x -759805-575 x -403027-1403 x -165175-1525 x -151961-6607 x -35075-7015 x -33035


How do I find the factor combinations of the number 231,740,525?

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 231,740,525, 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.

1 231,740,525
-1 -231,740,525

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 231,740,525.

Example:
1 x 231,740,525 = 231,740,525
and
-1 x -231,740,525 = 231,740,525
Notice both answers equal 231,740,525

With that explanation out of the way, let's continue. Next, we take the number 231,740,525 and divide it by 2:

231,740,525 ÷ 2 = 115,870,262.5

If the quotient is a whole number, then 2 and 115,870,262.5 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:

1 231,740,525
-1 -231,740,525

Now, we try dividing 231,740,525 by 3:

231,740,525 ÷ 3 = 77,246,841.6667

If the quotient is a whole number, then 3 and 77,246,841.6667 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:

1 231,740,525
-1 -231,740,525

Let's try dividing by 4:

231,740,525 ÷ 4 = 57,935,131.25

If the quotient is a whole number, then 4 and 57,935,131.25 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:

1 231,740,525
-1 231,740,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152325611153055751,4031,5256,6077,01533,03535,075151,961165,175403,027759,8052,015,1353,799,0259,269,62110,075,67546,348,105231,740,525
-1-5-23-25-61-115-305-575-1,403-1,525-6,607-7,015-33,035-35,075-151,961-165,175-403,027-759,805-2,015,135-3,799,025-9,269,621-10,075,675-46,348,105-231,740,525

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