Q: What are the factor combinations of the number 48,065,443?

 A:
Positive:   1 x 4806544317 x 282737943 x 111780147 x 1022669731 x 65753799 x 601571399 x 343572021 x 23783
Negative: -1 x -48065443-17 x -2827379-43 x -1117801-47 x -1022669-731 x -65753-799 x -60157-1399 x -34357-2021 x -23783


How do I find the factor combinations of the number 48,065,443?

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 48,065,443, 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 48,065,443
-1 -48,065,443

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 48,065,443.

Example:
1 x 48,065,443 = 48,065,443
and
-1 x -48,065,443 = 48,065,443
Notice both answers equal 48,065,443

With that explanation out of the way, let's continue. Next, we take the number 48,065,443 and divide it by 2:

48,065,443 ÷ 2 = 24,032,721.5

If the quotient is a whole number, then 2 and 24,032,721.5 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 48,065,443
-1 -48,065,443

Now, we try dividing 48,065,443 by 3:

48,065,443 ÷ 3 = 16,021,814.3333

If the quotient is a whole number, then 3 and 16,021,814.3333 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 48,065,443
-1 -48,065,443

Let's try dividing by 4:

48,065,443 ÷ 4 = 12,016,360.75

If the quotient is a whole number, then 4 and 12,016,360.75 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 48,065,443
-1 48,065,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11743477317991,3992,02123,78334,35760,15765,7531,022,6691,117,8012,827,37948,065,443
-1-17-43-47-731-799-1,399-2,021-23,783-34,357-60,157-65,753-1,022,669-1,117,801-2,827,379-48,065,443

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