Q: What are the factor combinations of the number 267,356,855?

 A:
Positive:   1 x 2673568555 x 534713712707 x 9876513535 x 19753
Negative: -1 x -267356855-5 x -53471371-2707 x -98765-13535 x -19753


How do I find the factor combinations of the number 267,356,855?

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 267,356,855, 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.

1 267,356,855
-1 -267,356,855

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 267,356,855.

Example:
1 x 267,356,855 = 267,356,855
and
-1 x -267,356,855 = 267,356,855
Notice both answers equal 267,356,855

With that explanation out of the way, let's continue. Next, we take the number 267,356,855 and divide it by 2:

267,356,855 ÷ 2 = 133,678,427.5

If the quotient is a whole number, then 2 and 133,678,427.5 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:

1 267,356,855
-1 -267,356,855

Now, we try dividing 267,356,855 by 3:

267,356,855 ÷ 3 = 89,118,951.6667

If the quotient is a whole number, then 3 and 89,118,951.6667 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:

1 267,356,855
-1 -267,356,855

Let's try dividing by 4:

267,356,855 ÷ 4 = 66,839,213.75

If the quotient is a whole number, then 4 and 66,839,213.75 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:

1 267,356,855
-1 267,356,855
Keep dividing by the next highest number until you cannot divide anymore.

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

152,70713,53519,75398,76553,471,371267,356,855
-1-5-2,707-13,535-19,753-98,765-53,471,371-267,356,855

More Examples

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