Q: What are the factor combinations of the number 23,764,135?

 A:
Positive:   1 x 237641355 x 475282731 x 766585139 x 170965155 x 153317695 x 341931103 x 215454309 x 5515
Negative: -1 x -23764135-5 x -4752827-31 x -766585-139 x -170965-155 x -153317-695 x -34193-1103 x -21545-4309 x -5515


How do I find the factor combinations of the number 23,764,135?

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 23,764,135, 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 23,764,135
-1 -23,764,135

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 23,764,135.

Example:
1 x 23,764,135 = 23,764,135
and
-1 x -23,764,135 = 23,764,135
Notice both answers equal 23,764,135

With that explanation out of the way, let's continue. Next, we take the number 23,764,135 and divide it by 2:

23,764,135 ÷ 2 = 11,882,067.5

If the quotient is a whole number, then 2 and 11,882,067.5 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 23,764,135
-1 -23,764,135

Now, we try dividing 23,764,135 by 3:

23,764,135 ÷ 3 = 7,921,378.3333

If the quotient is a whole number, then 3 and 7,921,378.3333 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 23,764,135
-1 -23,764,135

Let's try dividing by 4:

23,764,135 ÷ 4 = 5,941,033.75

If the quotient is a whole number, then 4 and 5,941,033.75 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 23,764,135
-1 23,764,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15311391556951,1034,3095,51521,54534,193153,317170,965766,5854,752,82723,764,135
-1-5-31-139-155-695-1,103-4,309-5,515-21,545-34,193-153,317-170,965-766,585-4,752,827-23,764,135

More Examples

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