Q: What are the factor combinations of the number 231,313,411?

 A:
Positive:   1 x 2313134117 x 33044773149 x 1552439463 x 499597479 x 4829091043 x 2217773241 x 713713353 x 68987
Negative: -1 x -231313411-7 x -33044773-149 x -1552439-463 x -499597-479 x -482909-1043 x -221777-3241 x -71371-3353 x -68987


How do I find the factor combinations of the number 231,313,411?

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 231,313,411, 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.

1 231,313,411
-1 -231,313,411

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 231,313,411.

Example:
1 x 231,313,411 = 231,313,411
and
-1 x -231,313,411 = 231,313,411
Notice both answers equal 231,313,411

With that explanation out of the way, let's continue. Next, we take the number 231,313,411 and divide it by 2:

231,313,411 ÷ 2 = 115,656,705.5

If the quotient is a whole number, then 2 and 115,656,705.5 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:

1 231,313,411
-1 -231,313,411

Now, we try dividing 231,313,411 by 3:

231,313,411 ÷ 3 = 77,104,470.3333

If the quotient is a whole number, then 3 and 77,104,470.3333 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:

1 231,313,411
-1 -231,313,411

Let's try dividing by 4:

231,313,411 ÷ 4 = 57,828,352.75

If the quotient is a whole number, then 4 and 57,828,352.75 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:

1 231,313,411
-1 231,313,411
Keep dividing by the next highest number until you cannot divide anymore.

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

171494634791,0433,2413,35368,98771,371221,777482,909499,5971,552,43933,044,773231,313,411
-1-7-149-463-479-1,043-3,241-3,353-68,987-71,371-221,777-482,909-499,597-1,552,439-33,044,773-231,313,411

More Examples

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