Q: What are the factor combinations of the number 267,215,443?

 A:
Positive:   1 x 26721544311 x 2429231331 x 861985337 x 7222039341 x 783623407 x 6565491147 x 23296912617 x 21179
Negative: -1 x -267215443-11 x -24292313-31 x -8619853-37 x -7222039-341 x -783623-407 x -656549-1147 x -232969-12617 x -21179


How do I find the factor combinations of the number 267,215,443?

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 267,215,443, 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.

1 267,215,443
-1 -267,215,443

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 267,215,443.

Example:
1 x 267,215,443 = 267,215,443
and
-1 x -267,215,443 = 267,215,443
Notice both answers equal 267,215,443

With that explanation out of the way, let's continue. Next, we take the number 267,215,443 and divide it by 2:

267,215,443 ÷ 2 = 133,607,721.5

If the quotient is a whole number, then 2 and 133,607,721.5 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:

1 267,215,443
-1 -267,215,443

Now, we try dividing 267,215,443 by 3:

267,215,443 ÷ 3 = 89,071,814.3333

If the quotient is a whole number, then 3 and 89,071,814.3333 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:

1 267,215,443
-1 -267,215,443

Let's try dividing by 4:

267,215,443 ÷ 4 = 66,803,860.75

If the quotient is a whole number, then 4 and 66,803,860.75 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:

1 267,215,443
-1 267,215,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11131373414071,14712,61721,179232,969656,549783,6237,222,0398,619,85324,292,313267,215,443
-1-11-31-37-341-407-1,147-12,617-21,179-232,969-656,549-783,623-7,222,039-8,619,853-24,292,313-267,215,443

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