Q: What are the factor combinations of the number 23,315,345?

 A:
Positive:   1 x 233153455 x 4663069101 x 230845137 x 170185337 x 69185505 x 46169685 x 340371685 x 13837
Negative: -1 x -23315345-5 x -4663069-101 x -230845-137 x -170185-337 x -69185-505 x -46169-685 x -34037-1685 x -13837


How do I find the factor combinations of the number 23,315,345?

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 23,315,345, 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 23,315,345
-1 -23,315,345

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 23,315,345.

Example:
1 x 23,315,345 = 23,315,345
and
-1 x -23,315,345 = 23,315,345
Notice both answers equal 23,315,345

With that explanation out of the way, let's continue. Next, we take the number 23,315,345 and divide it by 2:

23,315,345 ÷ 2 = 11,657,672.5

If the quotient is a whole number, then 2 and 11,657,672.5 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 23,315,345
-1 -23,315,345

Now, we try dividing 23,315,345 by 3:

23,315,345 ÷ 3 = 7,771,781.6667

If the quotient is a whole number, then 3 and 7,771,781.6667 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 23,315,345
-1 -23,315,345

Let's try dividing by 4:

23,315,345 ÷ 4 = 5,828,836.25

If the quotient is a whole number, then 4 and 5,828,836.25 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 23,315,345
-1 23,315,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151011373375056851,68513,83734,03746,16969,185170,185230,8454,663,06923,315,345
-1-5-101-137-337-505-685-1,685-13,837-34,037-46,169-69,185-170,185-230,845-4,663,069-23,315,345

More Examples

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