Q: What are the factor combinations of the number 23,085,337?

 A:
Positive:   1 x 2308533711 x 209866717 x 135796141 x 563057187 x 123451451 x 51187697 x 331213011 x 7667
Negative: -1 x -23085337-11 x -2098667-17 x -1357961-41 x -563057-187 x -123451-451 x -51187-697 x -33121-3011 x -7667


How do I find the factor combinations of the number 23,085,337?

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 23,085,337, 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 23,085,337
-1 -23,085,337

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 23,085,337.

Example:
1 x 23,085,337 = 23,085,337
and
-1 x -23,085,337 = 23,085,337
Notice both answers equal 23,085,337

With that explanation out of the way, let's continue. Next, we take the number 23,085,337 and divide it by 2:

23,085,337 ÷ 2 = 11,542,668.5

If the quotient is a whole number, then 2 and 11,542,668.5 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 23,085,337
-1 -23,085,337

Now, we try dividing 23,085,337 by 3:

23,085,337 ÷ 3 = 7,695,112.3333

If the quotient is a whole number, then 3 and 7,695,112.3333 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 23,085,337
-1 -23,085,337

Let's try dividing by 4:

23,085,337 ÷ 4 = 5,771,334.25

If the quotient is a whole number, then 4 and 5,771,334.25 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 23,085,337
-1 23,085,337
Keep dividing by the next highest number until you cannot divide anymore.

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

11117411874516973,0117,66733,12151,187123,451563,0571,357,9612,098,66723,085,337
-1-11-17-41-187-451-697-3,011-7,667-33,121-51,187-123,451-563,057-1,357,961-2,098,667-23,085,337

More Examples

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