Q: What are the factor combinations of the number 24,030,223?

 A:
Positive:   1 x 240302237 x 343288941 x 586103101 x 237923287 x 83729707 x 33989829 x 289874141 x 5803
Negative: -1 x -24030223-7 x -3432889-41 x -586103-101 x -237923-287 x -83729-707 x -33989-829 x -28987-4141 x -5803


How do I find the factor combinations of the number 24,030,223?

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 24,030,223, 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 24,030,223
-1 -24,030,223

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 24,030,223.

Example:
1 x 24,030,223 = 24,030,223
and
-1 x -24,030,223 = 24,030,223
Notice both answers equal 24,030,223

With that explanation out of the way, let's continue. Next, we take the number 24,030,223 and divide it by 2:

24,030,223 ÷ 2 = 12,015,111.5

If the quotient is a whole number, then 2 and 12,015,111.5 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 24,030,223
-1 -24,030,223

Now, we try dividing 24,030,223 by 3:

24,030,223 ÷ 3 = 8,010,074.3333

If the quotient is a whole number, then 3 and 8,010,074.3333 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 24,030,223
-1 -24,030,223

Let's try dividing by 4:

24,030,223 ÷ 4 = 6,007,555.75

If the quotient is a whole number, then 4 and 6,007,555.75 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 24,030,223
-1 24,030,223
Keep dividing by the next highest number until you cannot divide anymore.

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

17411012877078294,1415,80328,98733,98983,729237,923586,1033,432,88924,030,223
-1-7-41-101-287-707-829-4,141-5,803-28,987-33,989-83,729-237,923-586,103-3,432,889-24,030,223

More Examples

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