Q: What are the factor combinations of the number 260,715,565?

 A:
Positive:   1 x 2607155655 x 5214311311 x 2370141555 x 4740283937 x 2782454685 x 556495059 x 5153510307 x 25295
Negative: -1 x -260715565-5 x -52143113-11 x -23701415-55 x -4740283-937 x -278245-4685 x -55649-5059 x -51535-10307 x -25295


How do I find the factor combinations of the number 260,715,565?

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 260,715,565, 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.

1 260,715,565
-1 -260,715,565

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 260,715,565.

Example:
1 x 260,715,565 = 260,715,565
and
-1 x -260,715,565 = 260,715,565
Notice both answers equal 260,715,565

With that explanation out of the way, let's continue. Next, we take the number 260,715,565 and divide it by 2:

260,715,565 ÷ 2 = 130,357,782.5

If the quotient is a whole number, then 2 and 130,357,782.5 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:

1 260,715,565
-1 -260,715,565

Now, we try dividing 260,715,565 by 3:

260,715,565 ÷ 3 = 86,905,188.3333

If the quotient is a whole number, then 3 and 86,905,188.3333 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:

1 260,715,565
-1 -260,715,565

Let's try dividing by 4:

260,715,565 ÷ 4 = 65,178,891.25

If the quotient is a whole number, then 4 and 65,178,891.25 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:

1 260,715,565
-1 260,715,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559374,6855,05910,30725,29551,53555,649278,2454,740,28323,701,41552,143,113260,715,565
-1-5-11-55-937-4,685-5,059-10,307-25,295-51,535-55,649-278,245-4,740,283-23,701,415-52,143,113-260,715,565

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