Q: What are the factor combinations of the number 267,016,111?

 A:
Positive:   1 x 26701611143 x 6209677491 x 54382112647 x 21113
Negative: -1 x -267016111-43 x -6209677-491 x -543821-12647 x -21113


How do I find the factor combinations of the number 267,016,111?

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 267,016,111, 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.

1 267,016,111
-1 -267,016,111

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 267,016,111.

Example:
1 x 267,016,111 = 267,016,111
and
-1 x -267,016,111 = 267,016,111
Notice both answers equal 267,016,111

With that explanation out of the way, let's continue. Next, we take the number 267,016,111 and divide it by 2:

267,016,111 ÷ 2 = 133,508,055.5

If the quotient is a whole number, then 2 and 133,508,055.5 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:

1 267,016,111
-1 -267,016,111

Now, we try dividing 267,016,111 by 3:

267,016,111 ÷ 3 = 89,005,370.3333

If the quotient is a whole number, then 3 and 89,005,370.3333 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:

1 267,016,111
-1 -267,016,111

Let's try dividing by 4:

267,016,111 ÷ 4 = 66,754,027.75

If the quotient is a whole number, then 4 and 66,754,027.75 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:

1 267,016,111
-1 267,016,111
Keep dividing by the next highest number until you cannot divide anymore.

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

14349112,64721,113543,8216,209,677267,016,111
-1-43-491-12,647-21,113-543,821-6,209,677-267,016,111

More Examples

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