Q: What are the factor combinations of the number 23,442,755?

 A:
Positive:   1 x 234427555 x 46885517 x 334896535 x 669793137 x 171115685 x 34223959 x 244454795 x 4889
Negative: -1 x -23442755-5 x -4688551-7 x -3348965-35 x -669793-137 x -171115-685 x -34223-959 x -24445-4795 x -4889


How do I find the factor combinations of the number 23,442,755?

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 23,442,755, 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 23,442,755
-1 -23,442,755

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 23,442,755.

Example:
1 x 23,442,755 = 23,442,755
and
-1 x -23,442,755 = 23,442,755
Notice both answers equal 23,442,755

With that explanation out of the way, let's continue. Next, we take the number 23,442,755 and divide it by 2:

23,442,755 ÷ 2 = 11,721,377.5

If the quotient is a whole number, then 2 and 11,721,377.5 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 23,442,755
-1 -23,442,755

Now, we try dividing 23,442,755 by 3:

23,442,755 ÷ 3 = 7,814,251.6667

If the quotient is a whole number, then 3 and 7,814,251.6667 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 23,442,755
-1 -23,442,755

Let's try dividing by 4:

23,442,755 ÷ 4 = 5,860,688.75

If the quotient is a whole number, then 4 and 5,860,688.75 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 23,442,755
-1 23,442,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157351376859594,7954,88924,44534,223171,115669,7933,348,9654,688,55123,442,755
-1-5-7-35-137-685-959-4,795-4,889-24,445-34,223-171,115-669,793-3,348,965-4,688,551-23,442,755

More Examples

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