Q: What are the factor combinations of the number 24,043,211?

 A:
Positive:   1 x 2404321123 x 104535761 x 3941511403 x 17137
Negative: -1 x -24043211-23 x -1045357-61 x -394151-1403 x -17137


How do I find the factor combinations of the number 24,043,211?

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 24,043,211, 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 24,043,211
-1 -24,043,211

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 24,043,211.

Example:
1 x 24,043,211 = 24,043,211
and
-1 x -24,043,211 = 24,043,211
Notice both answers equal 24,043,211

With that explanation out of the way, let's continue. Next, we take the number 24,043,211 and divide it by 2:

24,043,211 ÷ 2 = 12,021,605.5

If the quotient is a whole number, then 2 and 12,021,605.5 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 24,043,211
-1 -24,043,211

Now, we try dividing 24,043,211 by 3:

24,043,211 ÷ 3 = 8,014,403.6667

If the quotient is a whole number, then 3 and 8,014,403.6667 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 24,043,211
-1 -24,043,211

Let's try dividing by 4:

24,043,211 ÷ 4 = 6,010,802.75

If the quotient is a whole number, then 4 and 6,010,802.75 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 24,043,211
-1 24,043,211
Keep dividing by the next highest number until you cannot divide anymore.

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

123611,40317,137394,1511,045,35724,043,211
-1-23-61-1,403-17,137-394,151-1,045,357-24,043,211

More Examples

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