Q: What are the factor combinations of the number 23,025,535?

 A:
Positive:   1 x 230255355 x 460510713 x 177119547 x 48990565 x 354239235 x 97981611 x 376853055 x 7537
Negative: -1 x -23025535-5 x -4605107-13 x -1771195-47 x -489905-65 x -354239-235 x -97981-611 x -37685-3055 x -7537


How do I find the factor combinations of the number 23,025,535?

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 23,025,535, 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 23,025,535
-1 -23,025,535

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 23,025,535.

Example:
1 x 23,025,535 = 23,025,535
and
-1 x -23,025,535 = 23,025,535
Notice both answers equal 23,025,535

With that explanation out of the way, let's continue. Next, we take the number 23,025,535 and divide it by 2:

23,025,535 ÷ 2 = 11,512,767.5

If the quotient is a whole number, then 2 and 11,512,767.5 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 23,025,535
-1 -23,025,535

Now, we try dividing 23,025,535 by 3:

23,025,535 ÷ 3 = 7,675,178.3333

If the quotient is a whole number, then 3 and 7,675,178.3333 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 23,025,535
-1 -23,025,535

Let's try dividing by 4:

23,025,535 ÷ 4 = 5,756,383.75

If the quotient is a whole number, then 4 and 5,756,383.75 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 23,025,535
-1 23,025,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151347652356113,0557,53737,68597,981354,239489,9051,771,1954,605,10723,025,535
-1-5-13-47-65-235-611-3,055-7,537-37,685-97,981-354,239-489,905-1,771,195-4,605,107-23,025,535

More Examples

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