Q: What are the factor combinations of the number 24,022,427?

 A:
Positive:   1 x 2402242711 x 218385713 x 184787931 x 774917143 x 167989341 x 70447403 x 596094433 x 5419
Negative: -1 x -24022427-11 x -2183857-13 x -1847879-31 x -774917-143 x -167989-341 x -70447-403 x -59609-4433 x -5419


How do I find the factor combinations of the number 24,022,427?

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 24,022,427, 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 24,022,427
-1 -24,022,427

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 24,022,427.

Example:
1 x 24,022,427 = 24,022,427
and
-1 x -24,022,427 = 24,022,427
Notice both answers equal 24,022,427

With that explanation out of the way, let's continue. Next, we take the number 24,022,427 and divide it by 2:

24,022,427 ÷ 2 = 12,011,213.5

If the quotient is a whole number, then 2 and 12,011,213.5 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 24,022,427
-1 -24,022,427

Now, we try dividing 24,022,427 by 3:

24,022,427 ÷ 3 = 8,007,475.6667

If the quotient is a whole number, then 3 and 8,007,475.6667 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 24,022,427
-1 -24,022,427

Let's try dividing by 4:

24,022,427 ÷ 4 = 6,005,606.75

If the quotient is a whole number, then 4 and 6,005,606.75 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 24,022,427
-1 24,022,427
Keep dividing by the next highest number until you cannot divide anymore.

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

11113311433414034,4335,41959,60970,447167,989774,9171,847,8792,183,85724,022,427
-1-11-13-31-143-341-403-4,433-5,419-59,609-70,447-167,989-774,917-1,847,879-2,183,857-24,022,427

More Examples

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