Q: What are the factor combinations of the number 231,043,403?

 A:
Positive:   1 x 23104340331 x 745301367 x 3448409173 x 1335511643 x 3593212077 x 1112395363 x 4308111591 x 19933
Negative: -1 x -231043403-31 x -7453013-67 x -3448409-173 x -1335511-643 x -359321-2077 x -111239-5363 x -43081-11591 x -19933


How do I find the factor combinations of the number 231,043,403?

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 231,043,403, 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.

1 231,043,403
-1 -231,043,403

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 231,043,403.

Example:
1 x 231,043,403 = 231,043,403
and
-1 x -231,043,403 = 231,043,403
Notice both answers equal 231,043,403

With that explanation out of the way, let's continue. Next, we take the number 231,043,403 and divide it by 2:

231,043,403 ÷ 2 = 115,521,701.5

If the quotient is a whole number, then 2 and 115,521,701.5 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:

1 231,043,403
-1 -231,043,403

Now, we try dividing 231,043,403 by 3:

231,043,403 ÷ 3 = 77,014,467.6667

If the quotient is a whole number, then 3 and 77,014,467.6667 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:

1 231,043,403
-1 -231,043,403

Let's try dividing by 4:

231,043,403 ÷ 4 = 57,760,850.75

If the quotient is a whole number, then 4 and 57,760,850.75 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:

1 231,043,403
-1 231,043,403
Keep dividing by the next highest number until you cannot divide anymore.

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

131671736432,0775,36311,59119,93343,081111,239359,3211,335,5113,448,4097,453,013231,043,403
-1-31-67-173-643-2,077-5,363-11,591-19,933-43,081-111,239-359,321-1,335,511-3,448,409-7,453,013-231,043,403

More Examples

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