Q: What are the factor combinations of the number 260,354,585?

 A:
Positive:   1 x 2603545855 x 5207091731 x 8398535155 x 1679707397 x 6558051985 x 1311614231 x 6153512307 x 21155
Negative: -1 x -260354585-5 x -52070917-31 x -8398535-155 x -1679707-397 x -655805-1985 x -131161-4231 x -61535-12307 x -21155


How do I find the factor combinations of the number 260,354,585?

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 260,354,585, 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.

1 260,354,585
-1 -260,354,585

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 260,354,585.

Example:
1 x 260,354,585 = 260,354,585
and
-1 x -260,354,585 = 260,354,585
Notice both answers equal 260,354,585

With that explanation out of the way, let's continue. Next, we take the number 260,354,585 and divide it by 2:

260,354,585 ÷ 2 = 130,177,292.5

If the quotient is a whole number, then 2 and 130,177,292.5 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:

1 260,354,585
-1 -260,354,585

Now, we try dividing 260,354,585 by 3:

260,354,585 ÷ 3 = 86,784,861.6667

If the quotient is a whole number, then 3 and 86,784,861.6667 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:

1 260,354,585
-1 -260,354,585

Let's try dividing by 4:

260,354,585 ÷ 4 = 65,088,646.25

If the quotient is a whole number, then 4 and 65,088,646.25 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:

1 260,354,585
-1 260,354,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15311553971,9854,23112,30721,15561,535131,161655,8051,679,7078,398,53552,070,917260,354,585
-1-5-31-155-397-1,985-4,231-12,307-21,155-61,535-131,161-655,805-1,679,707-8,398,535-52,070,917-260,354,585

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