Q: What are the factor combinations of the number 260,207,255?

 A:
Positive:   1 x 2602072555 x 520414517 x 3717246511 x 2365520535 x 743449355 x 473104177 x 3379315385 x 675863
Negative: -1 x -260207255-5 x -52041451-7 x -37172465-11 x -23655205-35 x -7434493-55 x -4731041-77 x -3379315-385 x -675863


How do I find the factor combinations of the number 260,207,255?

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 260,207,255, 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.

1 260,207,255
-1 -260,207,255

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 260,207,255.

Example:
1 x 260,207,255 = 260,207,255
and
-1 x -260,207,255 = 260,207,255
Notice both answers equal 260,207,255

With that explanation out of the way, let's continue. Next, we take the number 260,207,255 and divide it by 2:

260,207,255 ÷ 2 = 130,103,627.5

If the quotient is a whole number, then 2 and 130,103,627.5 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:

1 260,207,255
-1 -260,207,255

Now, we try dividing 260,207,255 by 3:

260,207,255 ÷ 3 = 86,735,751.6667

If the quotient is a whole number, then 3 and 86,735,751.6667 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:

1 260,207,255
-1 -260,207,255

Let's try dividing by 4:

260,207,255 ÷ 4 = 65,051,813.75

If the quotient is a whole number, then 4 and 65,051,813.75 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:

1 260,207,255
-1 260,207,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385675,8633,379,3154,731,0417,434,49323,655,20537,172,46552,041,451260,207,255
-1-5-7-11-35-55-77-385-675,863-3,379,315-4,731,041-7,434,493-23,655,205-37,172,465-52,041,451-260,207,255

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