Q: What are the factor combinations of the number 32,131,043?

 A:
Positive:   1 x 321310437 x 459014929 x 110796783 x 387121203 x 158281581 x 553031907 x 168492407 x 13349
Negative: -1 x -32131043-7 x -4590149-29 x -1107967-83 x -387121-203 x -158281-581 x -55303-1907 x -16849-2407 x -13349


How do I find the factor combinations of the number 32,131,043?

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 32,131,043, 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 32,131,043
-1 -32,131,043

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 32,131,043.

Example:
1 x 32,131,043 = 32,131,043
and
-1 x -32,131,043 = 32,131,043
Notice both answers equal 32,131,043

With that explanation out of the way, let's continue. Next, we take the number 32,131,043 and divide it by 2:

32,131,043 ÷ 2 = 16,065,521.5

If the quotient is a whole number, then 2 and 16,065,521.5 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 32,131,043
-1 -32,131,043

Now, we try dividing 32,131,043 by 3:

32,131,043 ÷ 3 = 10,710,347.6667

If the quotient is a whole number, then 3 and 10,710,347.6667 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 32,131,043
-1 -32,131,043

Let's try dividing by 4:

32,131,043 ÷ 4 = 8,032,760.75

If the quotient is a whole number, then 4 and 8,032,760.75 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 32,131,043
-1 32,131,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1729832035811,9072,40713,34916,84955,303158,281387,1211,107,9674,590,14932,131,043
-1-7-29-83-203-581-1,907-2,407-13,349-16,849-55,303-158,281-387,121-1,107,967-4,590,149-32,131,043

More Examples

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