Q: What are the factor combinations of the number 23,688,455?

 A:
Positive:   1 x 236884555 x 47376917 x 338406535 x 676813103 x 229985515 x 45997721 x 328553605 x 6571
Negative: -1 x -23688455-5 x -4737691-7 x -3384065-35 x -676813-103 x -229985-515 x -45997-721 x -32855-3605 x -6571


How do I find the factor combinations of the number 23,688,455?

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 23,688,455, 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 23,688,455
-1 -23,688,455

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 23,688,455.

Example:
1 x 23,688,455 = 23,688,455
and
-1 x -23,688,455 = 23,688,455
Notice both answers equal 23,688,455

With that explanation out of the way, let's continue. Next, we take the number 23,688,455 and divide it by 2:

23,688,455 ÷ 2 = 11,844,227.5

If the quotient is a whole number, then 2 and 11,844,227.5 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 23,688,455
-1 -23,688,455

Now, we try dividing 23,688,455 by 3:

23,688,455 ÷ 3 = 7,896,151.6667

If the quotient is a whole number, then 3 and 7,896,151.6667 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 23,688,455
-1 -23,688,455

Let's try dividing by 4:

23,688,455 ÷ 4 = 5,922,113.75

If the quotient is a whole number, then 4 and 5,922,113.75 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 23,688,455
-1 23,688,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,6056,57132,85545,997229,985676,8133,384,0654,737,69123,688,455
-1-5-7-35-103-515-721-3,605-6,571-32,855-45,997-229,985-676,813-3,384,065-4,737,691-23,688,455

More Examples

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