Q: What are the factor combinations of the number 24,036,199?

 A:
Positive:   1 x 2403619911 x 218510937 x 64962773 x 329263407 x 59057803 x 29933809 x 297112701 x 8899
Negative: -1 x -24036199-11 x -2185109-37 x -649627-73 x -329263-407 x -59057-803 x -29933-809 x -29711-2701 x -8899


How do I find the factor combinations of the number 24,036,199?

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 24,036,199, 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 24,036,199
-1 -24,036,199

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 24,036,199.

Example:
1 x 24,036,199 = 24,036,199
and
-1 x -24,036,199 = 24,036,199
Notice both answers equal 24,036,199

With that explanation out of the way, let's continue. Next, we take the number 24,036,199 and divide it by 2:

24,036,199 ÷ 2 = 12,018,099.5

If the quotient is a whole number, then 2 and 12,018,099.5 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 24,036,199
-1 -24,036,199

Now, we try dividing 24,036,199 by 3:

24,036,199 ÷ 3 = 8,012,066.3333

If the quotient is a whole number, then 3 and 8,012,066.3333 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 24,036,199
-1 -24,036,199

Let's try dividing by 4:

24,036,199 ÷ 4 = 6,009,049.75

If the quotient is a whole number, then 4 and 6,009,049.75 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 24,036,199
-1 24,036,199
Keep dividing by the next highest number until you cannot divide anymore.

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

11137734078038092,7018,89929,71129,93359,057329,263649,6272,185,10924,036,199
-1-11-37-73-407-803-809-2,701-8,899-29,711-29,933-59,057-329,263-649,627-2,185,109-24,036,199

More Examples

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