Q: What are the factor combinations of the number 426,287,135?

 A:
Positive:   1 x 4262871355 x 8525742719 x 2243616595 x 4487233
Negative: -1 x -426287135-5 x -85257427-19 x -22436165-95 x -4487233


How do I find the factor combinations of the number 426,287,135?

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 426,287,135, 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.

1 426,287,135
-1 -426,287,135

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 426,287,135.

Example:
1 x 426,287,135 = 426,287,135
and
-1 x -426,287,135 = 426,287,135
Notice both answers equal 426,287,135

With that explanation out of the way, let's continue. Next, we take the number 426,287,135 and divide it by 2:

426,287,135 ÷ 2 = 213,143,567.5

If the quotient is a whole number, then 2 and 213,143,567.5 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:

1 426,287,135
-1 -426,287,135

Now, we try dividing 426,287,135 by 3:

426,287,135 ÷ 3 = 142,095,711.6667

If the quotient is a whole number, then 3 and 142,095,711.6667 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:

1 426,287,135
-1 -426,287,135

Let's try dividing by 4:

426,287,135 ÷ 4 = 106,571,783.75

If the quotient is a whole number, then 4 and 106,571,783.75 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:

1 426,287,135
-1 426,287,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519954,487,23322,436,16585,257,427426,287,135
-1-5-19-95-4,487,233-22,436,165-85,257,427-426,287,135

More Examples

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