Q: What are the factor combinations of the number 267,767,255?

 A:
Positive:   1 x 2677672555 x 535534517 x 3825246517 x 1575101535 x 765049385 x 3150203119 x 2250145595 x 450029
Negative: -1 x -267767255-5 x -53553451-7 x -38252465-17 x -15751015-35 x -7650493-85 x -3150203-119 x -2250145-595 x -450029


How do I find the factor combinations of the number 267,767,255?

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 267,767,255, 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.

1 267,767,255
-1 -267,767,255

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 267,767,255.

Example:
1 x 267,767,255 = 267,767,255
and
-1 x -267,767,255 = 267,767,255
Notice both answers equal 267,767,255

With that explanation out of the way, let's continue. Next, we take the number 267,767,255 and divide it by 2:

267,767,255 ÷ 2 = 133,883,627.5

If the quotient is a whole number, then 2 and 133,883,627.5 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:

1 267,767,255
-1 -267,767,255

Now, we try dividing 267,767,255 by 3:

267,767,255 ÷ 3 = 89,255,751.6667

If the quotient is a whole number, then 3 and 89,255,751.6667 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:

1 267,767,255
-1 -267,767,255

Let's try dividing by 4:

267,767,255 ÷ 4 = 66,941,813.75

If the quotient is a whole number, then 4 and 66,941,813.75 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:

1 267,767,255
-1 267,767,255
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595450,0292,250,1453,150,2037,650,49315,751,01538,252,46553,553,451267,767,255
-1-5-7-17-35-85-119-595-450,029-2,250,145-3,150,203-7,650,493-15,751,015-38,252,465-53,553,451-267,767,255

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