Q: What are the factor combinations of the number 23,356,745?

 A:
Positive:   1 x 233567455 x 467134929 x 80540579 x 295655145 x 161081395 x 591312039 x 114552291 x 10195
Negative: -1 x -23356745-5 x -4671349-29 x -805405-79 x -295655-145 x -161081-395 x -59131-2039 x -11455-2291 x -10195


How do I find the factor combinations of the number 23,356,745?

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 23,356,745, 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 23,356,745
-1 -23,356,745

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 23,356,745.

Example:
1 x 23,356,745 = 23,356,745
and
-1 x -23,356,745 = 23,356,745
Notice both answers equal 23,356,745

With that explanation out of the way, let's continue. Next, we take the number 23,356,745 and divide it by 2:

23,356,745 ÷ 2 = 11,678,372.5

If the quotient is a whole number, then 2 and 11,678,372.5 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 23,356,745
-1 -23,356,745

Now, we try dividing 23,356,745 by 3:

23,356,745 ÷ 3 = 7,785,581.6667

If the quotient is a whole number, then 3 and 7,785,581.6667 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 23,356,745
-1 -23,356,745

Let's try dividing by 4:

23,356,745 ÷ 4 = 5,839,186.25

If the quotient is a whole number, then 4 and 5,839,186.25 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 23,356,745
-1 23,356,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1529791453952,0392,29110,19511,45559,131161,081295,655805,4054,671,34923,356,745
-1-5-29-79-145-395-2,039-2,291-10,195-11,455-59,131-161,081-295,655-805,405-4,671,349-23,356,745

More Examples

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