Q: What are the factor combinations of the number 24,753,359?

 A:
Positive:   1 x 2475335923 x 1076233173 x 1430833979 x 6221
Negative: -1 x -24753359-23 x -1076233-173 x -143083-3979 x -6221


How do I find the factor combinations of the number 24,753,359?

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 24,753,359, 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 24,753,359
-1 -24,753,359

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 24,753,359.

Example:
1 x 24,753,359 = 24,753,359
and
-1 x -24,753,359 = 24,753,359
Notice both answers equal 24,753,359

With that explanation out of the way, let's continue. Next, we take the number 24,753,359 and divide it by 2:

24,753,359 ÷ 2 = 12,376,679.5

If the quotient is a whole number, then 2 and 12,376,679.5 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 24,753,359
-1 -24,753,359

Now, we try dividing 24,753,359 by 3:

24,753,359 ÷ 3 = 8,251,119.6667

If the quotient is a whole number, then 3 and 8,251,119.6667 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 24,753,359
-1 -24,753,359

Let's try dividing by 4:

24,753,359 ÷ 4 = 6,188,339.75

If the quotient is a whole number, then 4 and 6,188,339.75 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 24,753,359
-1 24,753,359
Keep dividing by the next highest number until you cannot divide anymore.

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

1231733,9796,221143,0831,076,23324,753,359
-1-23-173-3,979-6,221-143,083-1,076,233-24,753,359

More Examples

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