Q: What are the factor combinations of the number 48,423,583?

 A:
Positive:   1 x 4842358313 x 372489141 x 118106347 x 1030289533 x 90851611 x 792531927 x 251291933 x 25051
Negative: -1 x -48423583-13 x -3724891-41 x -1181063-47 x -1030289-533 x -90851-611 x -79253-1927 x -25129-1933 x -25051


How do I find the factor combinations of the number 48,423,583?

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 48,423,583, 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 48,423,583
-1 -48,423,583

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 48,423,583.

Example:
1 x 48,423,583 = 48,423,583
and
-1 x -48,423,583 = 48,423,583
Notice both answers equal 48,423,583

With that explanation out of the way, let's continue. Next, we take the number 48,423,583 and divide it by 2:

48,423,583 ÷ 2 = 24,211,791.5

If the quotient is a whole number, then 2 and 24,211,791.5 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 48,423,583
-1 -48,423,583

Now, we try dividing 48,423,583 by 3:

48,423,583 ÷ 3 = 16,141,194.3333

If the quotient is a whole number, then 3 and 16,141,194.3333 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 48,423,583
-1 -48,423,583

Let's try dividing by 4:

48,423,583 ÷ 4 = 12,105,895.75

If the quotient is a whole number, then 4 and 12,105,895.75 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 48,423,583
-1 48,423,583
Keep dividing by the next highest number until you cannot divide anymore.

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

11341475336111,9271,93325,05125,12979,25390,8511,030,2891,181,0633,724,89148,423,583
-1-13-41-47-533-611-1,927-1,933-25,051-25,129-79,253-90,851-1,030,289-1,181,063-3,724,891-48,423,583

More Examples

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