Q: What are the factor combinations of the number 260,555,565?

 A:
Positive:   1 x 2605555653 x 868518555 x 5211111315 x 17370371463 x 5627551389 x 1875852315 x 1125516945 x 37517
Negative: -1 x -260555565-3 x -86851855-5 x -52111113-15 x -17370371-463 x -562755-1389 x -187585-2315 x -112551-6945 x -37517


How do I find the factor combinations of the number 260,555,565?

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 260,555,565, 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.

1 260,555,565
-1 -260,555,565

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 260,555,565.

Example:
1 x 260,555,565 = 260,555,565
and
-1 x -260,555,565 = 260,555,565
Notice both answers equal 260,555,565

With that explanation out of the way, let's continue. Next, we take the number 260,555,565 and divide it by 2:

260,555,565 ÷ 2 = 130,277,782.5

If the quotient is a whole number, then 2 and 130,277,782.5 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:

1 260,555,565
-1 -260,555,565

Now, we try dividing 260,555,565 by 3:

260,555,565 ÷ 3 = 86,851,855

If the quotient is a whole number, then 3 and 86,851,855 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 86,851,855 260,555,565
-1 -3 -86,851,855 -260,555,565

Let's try dividing by 4:

260,555,565 ÷ 4 = 65,138,891.25

If the quotient is a whole number, then 4 and 65,138,891.25 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 3 86,851,855 260,555,565
-1 -3 -86,851,855 260,555,565
Keep dividing by the next highest number until you cannot divide anymore.

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

135154631,3892,3156,94537,517112,551187,585562,75517,370,37152,111,11386,851,855260,555,565
-1-3-5-15-463-1,389-2,315-6,945-37,517-112,551-187,585-562,755-17,370,371-52,111,113-86,851,855-260,555,565

More Examples

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