Q: What are the factor combinations of the number 24,043,321?

 A:
Positive:   1 x 2404332117 x 141431331 x 77559143 x 559147527 x 45623731 x 328911061 x 226611333 x 18037
Negative: -1 x -24043321-17 x -1414313-31 x -775591-43 x -559147-527 x -45623-731 x -32891-1061 x -22661-1333 x -18037


How do I find the factor combinations of the number 24,043,321?

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 24,043,321, 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 24,043,321
-1 -24,043,321

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 24,043,321.

Example:
1 x 24,043,321 = 24,043,321
and
-1 x -24,043,321 = 24,043,321
Notice both answers equal 24,043,321

With that explanation out of the way, let's continue. Next, we take the number 24,043,321 and divide it by 2:

24,043,321 ÷ 2 = 12,021,660.5

If the quotient is a whole number, then 2 and 12,021,660.5 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 24,043,321
-1 -24,043,321

Now, we try dividing 24,043,321 by 3:

24,043,321 ÷ 3 = 8,014,440.3333

If the quotient is a whole number, then 3 and 8,014,440.3333 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 24,043,321
-1 -24,043,321

Let's try dividing by 4:

24,043,321 ÷ 4 = 6,010,830.25

If the quotient is a whole number, then 4 and 6,010,830.25 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 24,043,321
-1 24,043,321
Keep dividing by the next highest number until you cannot divide anymore.

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

11731435277311,0611,33318,03722,66132,89145,623559,147775,5911,414,31324,043,321
-1-17-31-43-527-731-1,061-1,333-18,037-22,661-32,891-45,623-559,147-775,591-1,414,313-24,043,321

More Examples

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