Q: What are the factor combinations of the number 867,088,535?

 A:
Positive:   1 x 8670885355 x 173417707101 x 8585035505 x 1717007
Negative: -1 x -867088535-5 x -173417707-101 x -8585035-505 x -1717007


How do I find the factor combinations of the number 867,088,535?

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 867,088,535, 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.

1 867,088,535
-1 -867,088,535

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 867,088,535.

Example:
1 x 867,088,535 = 867,088,535
and
-1 x -867,088,535 = 867,088,535
Notice both answers equal 867,088,535

With that explanation out of the way, let's continue. Next, we take the number 867,088,535 and divide it by 2:

867,088,535 ÷ 2 = 433,544,267.5

If the quotient is a whole number, then 2 and 433,544,267.5 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:

1 867,088,535
-1 -867,088,535

Now, we try dividing 867,088,535 by 3:

867,088,535 ÷ 3 = 289,029,511.6667

If the quotient is a whole number, then 3 and 289,029,511.6667 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:

1 867,088,535
-1 -867,088,535

Let's try dividing by 4:

867,088,535 ÷ 4 = 216,772,133.75

If the quotient is a whole number, then 4 and 216,772,133.75 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:

1 867,088,535
-1 867,088,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151015051,717,0078,585,035173,417,707867,088,535
-1-5-101-505-1,717,007-8,585,035-173,417,707-867,088,535

More Examples

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