Q: What are the factor combinations of the number 88,737,887?

 A:
Positive:   1 x 887378877 x 1267684123 x 3858169161 x 551167241 x 3682071687 x 526012287 x 388015543 x 16009
Negative: -1 x -88737887-7 x -12676841-23 x -3858169-161 x -551167-241 x -368207-1687 x -52601-2287 x -38801-5543 x -16009


How do I find the factor combinations of the number 88,737,887?

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 88,737,887, 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 88,737,887
-1 -88,737,887

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 88,737,887.

Example:
1 x 88,737,887 = 88,737,887
and
-1 x -88,737,887 = 88,737,887
Notice both answers equal 88,737,887

With that explanation out of the way, let's continue. Next, we take the number 88,737,887 and divide it by 2:

88,737,887 ÷ 2 = 44,368,943.5

If the quotient is a whole number, then 2 and 44,368,943.5 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 88,737,887
-1 -88,737,887

Now, we try dividing 88,737,887 by 3:

88,737,887 ÷ 3 = 29,579,295.6667

If the quotient is a whole number, then 3 and 29,579,295.6667 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 88,737,887
-1 -88,737,887

Let's try dividing by 4:

88,737,887 ÷ 4 = 22,184,471.75

If the quotient is a whole number, then 4 and 22,184,471.75 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 88,737,887
-1 88,737,887
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612411,6872,2875,54316,00938,80152,601368,207551,1673,858,16912,676,84188,737,887
-1-7-23-161-241-1,687-2,287-5,543-16,009-38,801-52,601-368,207-551,167-3,858,169-12,676,841-88,737,887

More Examples

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