Q: What are the factor combinations of the number 24,744,055?

 A:
Positive:   1 x 247440555 x 49488117 x 353486535 x 706973
Negative: -1 x -24744055-5 x -4948811-7 x -3534865-35 x -706973


How do I find the factor combinations of the number 24,744,055?

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 24,744,055, 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 24,744,055
-1 -24,744,055

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 24,744,055.

Example:
1 x 24,744,055 = 24,744,055
and
-1 x -24,744,055 = 24,744,055
Notice both answers equal 24,744,055

With that explanation out of the way, let's continue. Next, we take the number 24,744,055 and divide it by 2:

24,744,055 ÷ 2 = 12,372,027.5

If the quotient is a whole number, then 2 and 12,372,027.5 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 24,744,055
-1 -24,744,055

Now, we try dividing 24,744,055 by 3:

24,744,055 ÷ 3 = 8,248,018.3333

If the quotient is a whole number, then 3 and 8,248,018.3333 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 24,744,055
-1 -24,744,055

Let's try dividing by 4:

24,744,055 ÷ 4 = 6,186,013.75

If the quotient is a whole number, then 4 and 6,186,013.75 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 24,744,055
-1 24,744,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735706,9733,534,8654,948,81124,744,055
-1-5-7-35-706,973-3,534,865-4,948,811-24,744,055

More Examples

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