Q: What are the factor combinations of the number 267,155,063?

 A:
Positive:   1 x 2671550637 x 3816500967 x 3987389149 x 1792987469 x 5696271043 x 2561413823 x 698819983 x 26761
Negative: -1 x -267155063-7 x -38165009-67 x -3987389-149 x -1792987-469 x -569627-1043 x -256141-3823 x -69881-9983 x -26761


How do I find the factor combinations of the number 267,155,063?

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 267,155,063, 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.

1 267,155,063
-1 -267,155,063

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 267,155,063.

Example:
1 x 267,155,063 = 267,155,063
and
-1 x -267,155,063 = 267,155,063
Notice both answers equal 267,155,063

With that explanation out of the way, let's continue. Next, we take the number 267,155,063 and divide it by 2:

267,155,063 ÷ 2 = 133,577,531.5

If the quotient is a whole number, then 2 and 133,577,531.5 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:

1 267,155,063
-1 -267,155,063

Now, we try dividing 267,155,063 by 3:

267,155,063 ÷ 3 = 89,051,687.6667

If the quotient is a whole number, then 3 and 89,051,687.6667 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:

1 267,155,063
-1 -267,155,063

Let's try dividing by 4:

267,155,063 ÷ 4 = 66,788,765.75

If the quotient is a whole number, then 4 and 66,788,765.75 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:

1 267,155,063
-1 267,155,063
Keep dividing by the next highest number until you cannot divide anymore.

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

17671494691,0433,8239,98326,76169,881256,141569,6271,792,9873,987,38938,165,009267,155,063
-1-7-67-149-469-1,043-3,823-9,983-26,761-69,881-256,141-569,627-1,792,987-3,987,389-38,165,009-267,155,063

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