Q: What are the factor combinations of the number 24,669,691?

 A:
Positive:   1 x 2466969129 x 850679
Negative: -1 x -24669691-29 x -850679


How do I find the factor combinations of the number 24,669,691?

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 24,669,691, 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 24,669,691
-1 -24,669,691

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 24,669,691.

Example:
1 x 24,669,691 = 24,669,691
and
-1 x -24,669,691 = 24,669,691
Notice both answers equal 24,669,691

With that explanation out of the way, let's continue. Next, we take the number 24,669,691 and divide it by 2:

24,669,691 ÷ 2 = 12,334,845.5

If the quotient is a whole number, then 2 and 12,334,845.5 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 24,669,691
-1 -24,669,691

Now, we try dividing 24,669,691 by 3:

24,669,691 ÷ 3 = 8,223,230.3333

If the quotient is a whole number, then 3 and 8,223,230.3333 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 24,669,691
-1 -24,669,691

Let's try dividing by 4:

24,669,691 ÷ 4 = 6,167,422.75

If the quotient is a whole number, then 4 and 6,167,422.75 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 24,669,691
-1 24,669,691
Keep dividing by the next highest number until you cannot divide anymore.

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

129850,67924,669,691
-1-29-850,679-24,669,691

More Examples

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