Q: What are the factor combinations of the number 23,731,757?

 A:
Positive:   1 x 237317577 x 339025147 x 50493153 x 447769329 x 72133371 x 639671361 x 174372491 x 9527
Negative: -1 x -23731757-7 x -3390251-47 x -504931-53 x -447769-329 x -72133-371 x -63967-1361 x -17437-2491 x -9527


How do I find the factor combinations of the number 23,731,757?

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 23,731,757, 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 23,731,757
-1 -23,731,757

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 23,731,757.

Example:
1 x 23,731,757 = 23,731,757
and
-1 x -23,731,757 = 23,731,757
Notice both answers equal 23,731,757

With that explanation out of the way, let's continue. Next, we take the number 23,731,757 and divide it by 2:

23,731,757 ÷ 2 = 11,865,878.5

If the quotient is a whole number, then 2 and 11,865,878.5 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 23,731,757
-1 -23,731,757

Now, we try dividing 23,731,757 by 3:

23,731,757 ÷ 3 = 7,910,585.6667

If the quotient is a whole number, then 3 and 7,910,585.6667 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 23,731,757
-1 -23,731,757

Let's try dividing by 4:

23,731,757 ÷ 4 = 5,932,939.25

If the quotient is a whole number, then 4 and 5,932,939.25 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 23,731,757
-1 23,731,757
Keep dividing by the next highest number until you cannot divide anymore.

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

1747533293711,3612,4919,52717,43763,96772,133447,769504,9313,390,25123,731,757
-1-7-47-53-329-371-1,361-2,491-9,527-17,437-63,967-72,133-447,769-504,931-3,390,251-23,731,757

More Examples

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