Q: What are the factor combinations of the number 24,240,463?

 A:
Positive:   1 x 2424046313 x 1864651919 x 263772029 x 11947
Negative: -1 x -24240463-13 x -1864651-919 x -26377-2029 x -11947


How do I find the factor combinations of the number 24,240,463?

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 24,240,463, 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 24,240,463
-1 -24,240,463

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 24,240,463.

Example:
1 x 24,240,463 = 24,240,463
and
-1 x -24,240,463 = 24,240,463
Notice both answers equal 24,240,463

With that explanation out of the way, let's continue. Next, we take the number 24,240,463 and divide it by 2:

24,240,463 ÷ 2 = 12,120,231.5

If the quotient is a whole number, then 2 and 12,120,231.5 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 24,240,463
-1 -24,240,463

Now, we try dividing 24,240,463 by 3:

24,240,463 ÷ 3 = 8,080,154.3333

If the quotient is a whole number, then 3 and 8,080,154.3333 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 24,240,463
-1 -24,240,463

Let's try dividing by 4:

24,240,463 ÷ 4 = 6,060,115.75

If the quotient is a whole number, then 4 and 6,060,115.75 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 24,240,463
-1 24,240,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1139192,02911,94726,3771,864,65124,240,463
-1-13-919-2,029-11,947-26,377-1,864,651-24,240,463

More Examples

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