Q: What are the factor combinations of the number 232,512,431?

 A:
Positive:   1 x 23251243131 x 750040147 x 494707353 x 43870271457 x 1595831643 x 1415172491 x 933413011 x 77221
Negative: -1 x -232512431-31 x -7500401-47 x -4947073-53 x -4387027-1457 x -159583-1643 x -141517-2491 x -93341-3011 x -77221


How do I find the factor combinations of the number 232,512,431?

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 232,512,431, 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.

1 232,512,431
-1 -232,512,431

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 232,512,431.

Example:
1 x 232,512,431 = 232,512,431
and
-1 x -232,512,431 = 232,512,431
Notice both answers equal 232,512,431

With that explanation out of the way, let's continue. Next, we take the number 232,512,431 and divide it by 2:

232,512,431 ÷ 2 = 116,256,215.5

If the quotient is a whole number, then 2 and 116,256,215.5 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:

1 232,512,431
-1 -232,512,431

Now, we try dividing 232,512,431 by 3:

232,512,431 ÷ 3 = 77,504,143.6667

If the quotient is a whole number, then 3 and 77,504,143.6667 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:

1 232,512,431
-1 -232,512,431

Let's try dividing by 4:

232,512,431 ÷ 4 = 58,128,107.75

If the quotient is a whole number, then 4 and 58,128,107.75 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:

1 232,512,431
-1 232,512,431
Keep dividing by the next highest number until you cannot divide anymore.

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

13147531,4571,6432,4913,01177,22193,341141,517159,5834,387,0274,947,0737,500,401232,512,431
-1-31-47-53-1,457-1,643-2,491-3,011-77,221-93,341-141,517-159,583-4,387,027-4,947,073-7,500,401-232,512,431

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