Q: What are the factor combinations of the number 24,044,713?

 A:
Positive:   1 x 240447137 x 343495911 x 218588377 x 312269
Negative: -1 x -24044713-7 x -3434959-11 x -2185883-77 x -312269


How do I find the factor combinations of the number 24,044,713?

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 24,044,713, 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 24,044,713
-1 -24,044,713

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 24,044,713.

Example:
1 x 24,044,713 = 24,044,713
and
-1 x -24,044,713 = 24,044,713
Notice both answers equal 24,044,713

With that explanation out of the way, let's continue. Next, we take the number 24,044,713 and divide it by 2:

24,044,713 ÷ 2 = 12,022,356.5

If the quotient is a whole number, then 2 and 12,022,356.5 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 24,044,713
-1 -24,044,713

Now, we try dividing 24,044,713 by 3:

24,044,713 ÷ 3 = 8,014,904.3333

If the quotient is a whole number, then 3 and 8,014,904.3333 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 24,044,713
-1 -24,044,713

Let's try dividing by 4:

24,044,713 ÷ 4 = 6,011,178.25

If the quotient is a whole number, then 4 and 6,011,178.25 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 24,044,713
-1 24,044,713
Keep dividing by the next highest number until you cannot divide anymore.

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

171177312,2692,185,8833,434,95924,044,713
-1-7-11-77-312,269-2,185,883-3,434,959-24,044,713

More Examples

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