Q: What are the factor combinations of the number 24,143,327?

 A:
Positive:   1 x 2414332713 x 185717931 x 778817139 x 173693403 x 59909431 x 560171807 x 133614309 x 5603
Negative: -1 x -24143327-13 x -1857179-31 x -778817-139 x -173693-403 x -59909-431 x -56017-1807 x -13361-4309 x -5603


How do I find the factor combinations of the number 24,143,327?

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 24,143,327, 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 24,143,327
-1 -24,143,327

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 24,143,327.

Example:
1 x 24,143,327 = 24,143,327
and
-1 x -24,143,327 = 24,143,327
Notice both answers equal 24,143,327

With that explanation out of the way, let's continue. Next, we take the number 24,143,327 and divide it by 2:

24,143,327 ÷ 2 = 12,071,663.5

If the quotient is a whole number, then 2 and 12,071,663.5 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 24,143,327
-1 -24,143,327

Now, we try dividing 24,143,327 by 3:

24,143,327 ÷ 3 = 8,047,775.6667

If the quotient is a whole number, then 3 and 8,047,775.6667 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 24,143,327
-1 -24,143,327

Let's try dividing by 4:

24,143,327 ÷ 4 = 6,035,831.75

If the quotient is a whole number, then 4 and 6,035,831.75 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 24,143,327
-1 24,143,327
Keep dividing by the next highest number until you cannot divide anymore.

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

113311394034311,8074,3095,60313,36156,01759,909173,693778,8171,857,17924,143,327
-1-13-31-139-403-431-1,807-4,309-5,603-13,361-56,017-59,909-173,693-778,817-1,857,179-24,143,327

More Examples

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