Q: What are the factor combinations of the number 24,002,321?

 A:
Positive:   1 x 240023217 x 342890359 x 40681989 x 269689413 x 58117623 x 38527653 x 367574571 x 5251
Negative: -1 x -24002321-7 x -3428903-59 x -406819-89 x -269689-413 x -58117-623 x -38527-653 x -36757-4571 x -5251


How do I find the factor combinations of the number 24,002,321?

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 24,002,321, 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 24,002,321
-1 -24,002,321

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 24,002,321.

Example:
1 x 24,002,321 = 24,002,321
and
-1 x -24,002,321 = 24,002,321
Notice both answers equal 24,002,321

With that explanation out of the way, let's continue. Next, we take the number 24,002,321 and divide it by 2:

24,002,321 ÷ 2 = 12,001,160.5

If the quotient is a whole number, then 2 and 12,001,160.5 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 24,002,321
-1 -24,002,321

Now, we try dividing 24,002,321 by 3:

24,002,321 ÷ 3 = 8,000,773.6667

If the quotient is a whole number, then 3 and 8,000,773.6667 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 24,002,321
-1 -24,002,321

Let's try dividing by 4:

24,002,321 ÷ 4 = 6,000,580.25

If the quotient is a whole number, then 4 and 6,000,580.25 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 24,002,321
-1 24,002,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1759894136236534,5715,25136,75738,52758,117269,689406,8193,428,90324,002,321
-1-7-59-89-413-623-653-4,571-5,251-36,757-38,527-58,117-269,689-406,819-3,428,903-24,002,321

More Examples

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