Q: What are the factor combinations of the number 240,313,343?

 A:
Positive:   1 x 24031334317 x 1413607929 x 828666761 x 3939563131 x 1834453493 x 4874511037 x 2317391769 x 1358472227 x 1079093721 x 645833799 x 632577991 x 30073
Negative: -1 x -240313343-17 x -14136079-29 x -8286667-61 x -3939563-131 x -1834453-493 x -487451-1037 x -231739-1769 x -135847-2227 x -107909-3721 x -64583-3799 x -63257-7991 x -30073


How do I find the factor combinations of the number 240,313,343?

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 240,313,343, 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.

1 240,313,343
-1 -240,313,343

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 240,313,343.

Example:
1 x 240,313,343 = 240,313,343
and
-1 x -240,313,343 = 240,313,343
Notice both answers equal 240,313,343

With that explanation out of the way, let's continue. Next, we take the number 240,313,343 and divide it by 2:

240,313,343 ÷ 2 = 120,156,671.5

If the quotient is a whole number, then 2 and 120,156,671.5 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:

1 240,313,343
-1 -240,313,343

Now, we try dividing 240,313,343 by 3:

240,313,343 ÷ 3 = 80,104,447.6667

If the quotient is a whole number, then 3 and 80,104,447.6667 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:

1 240,313,343
-1 -240,313,343

Let's try dividing by 4:

240,313,343 ÷ 4 = 60,078,335.75

If the quotient is a whole number, then 4 and 60,078,335.75 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:

1 240,313,343
-1 240,313,343
Keep dividing by the next highest number until you cannot divide anymore.

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

11729611314931,0371,7692,2273,7213,7997,99130,07363,25764,583107,909135,847231,739487,4511,834,4533,939,5638,286,66714,136,079240,313,343
-1-17-29-61-131-493-1,037-1,769-2,227-3,721-3,799-7,991-30,073-63,257-64,583-107,909-135,847-231,739-487,451-1,834,453-3,939,563-8,286,667-14,136,079-240,313,343

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