Q: What are the factor combinations of the number 47,928,785?

 A:
Positive:   1 x 479287855 x 958575767 x 715355173 x 277045335 x 143071827 x 57955865 x 554094135 x 11591
Negative: -1 x -47928785-5 x -9585757-67 x -715355-173 x -277045-335 x -143071-827 x -57955-865 x -55409-4135 x -11591


How do I find the factor combinations of the number 47,928,785?

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 47,928,785, 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 47,928,785
-1 -47,928,785

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 47,928,785.

Example:
1 x 47,928,785 = 47,928,785
and
-1 x -47,928,785 = 47,928,785
Notice both answers equal 47,928,785

With that explanation out of the way, let's continue. Next, we take the number 47,928,785 and divide it by 2:

47,928,785 ÷ 2 = 23,964,392.5

If the quotient is a whole number, then 2 and 23,964,392.5 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 47,928,785
-1 -47,928,785

Now, we try dividing 47,928,785 by 3:

47,928,785 ÷ 3 = 15,976,261.6667

If the quotient is a whole number, then 3 and 15,976,261.6667 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 47,928,785
-1 -47,928,785

Let's try dividing by 4:

47,928,785 ÷ 4 = 11,982,196.25

If the quotient is a whole number, then 4 and 11,982,196.25 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 47,928,785
-1 47,928,785
Keep dividing by the next highest number until you cannot divide anymore.

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

15671733358278654,13511,59155,40957,955143,071277,045715,3559,585,75747,928,785
-1-5-67-173-335-827-865-4,135-11,591-55,409-57,955-143,071-277,045-715,355-9,585,757-47,928,785

More Examples

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