Q: What are the factor combinations of the number 24,504,403?

 A:
Positive:   1 x 245044037 x 350062911 x 222767377 x 318239157 x 1560791099 x 222971727 x 141892027 x 12089
Negative: -1 x -24504403-7 x -3500629-11 x -2227673-77 x -318239-157 x -156079-1099 x -22297-1727 x -14189-2027 x -12089


How do I find the factor combinations of the number 24,504,403?

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 24,504,403, 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 24,504,403
-1 -24,504,403

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 24,504,403.

Example:
1 x 24,504,403 = 24,504,403
and
-1 x -24,504,403 = 24,504,403
Notice both answers equal 24,504,403

With that explanation out of the way, let's continue. Next, we take the number 24,504,403 and divide it by 2:

24,504,403 ÷ 2 = 12,252,201.5

If the quotient is a whole number, then 2 and 12,252,201.5 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 24,504,403
-1 -24,504,403

Now, we try dividing 24,504,403 by 3:

24,504,403 ÷ 3 = 8,168,134.3333

If the quotient is a whole number, then 3 and 8,168,134.3333 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 24,504,403
-1 -24,504,403

Let's try dividing by 4:

24,504,403 ÷ 4 = 6,126,100.75

If the quotient is a whole number, then 4 and 6,126,100.75 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 24,504,403
-1 24,504,403
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771571,0991,7272,02712,08914,18922,297156,079318,2392,227,6733,500,62924,504,403
-1-7-11-77-157-1,099-1,727-2,027-12,089-14,189-22,297-156,079-318,239-2,227,673-3,500,629-24,504,403

More Examples

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