Q: What are the factor combinations of the number 265,550,525?

 A:
Positive:   1 x 2655505255 x 5311010523 x 1154567525 x 10622021115 x 2309135137 x 1938325575 x 461827685 x 3876653151 x 842753371 x 787753425 x 7753315755 x 16855
Negative: -1 x -265550525-5 x -53110105-23 x -11545675-25 x -10622021-115 x -2309135-137 x -1938325-575 x -461827-685 x -387665-3151 x -84275-3371 x -78775-3425 x -77533-15755 x -16855


How do I find the factor combinations of the number 265,550,525?

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 265,550,525, 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.

1 265,550,525
-1 -265,550,525

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 265,550,525.

Example:
1 x 265,550,525 = 265,550,525
and
-1 x -265,550,525 = 265,550,525
Notice both answers equal 265,550,525

With that explanation out of the way, let's continue. Next, we take the number 265,550,525 and divide it by 2:

265,550,525 ÷ 2 = 132,775,262.5

If the quotient is a whole number, then 2 and 132,775,262.5 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:

1 265,550,525
-1 -265,550,525

Now, we try dividing 265,550,525 by 3:

265,550,525 ÷ 3 = 88,516,841.6667

If the quotient is a whole number, then 3 and 88,516,841.6667 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:

1 265,550,525
-1 -265,550,525

Let's try dividing by 4:

265,550,525 ÷ 4 = 66,387,631.25

If the quotient is a whole number, then 4 and 66,387,631.25 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:

1 265,550,525
-1 265,550,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151375756853,1513,3713,42515,75516,85577,53378,77584,275387,665461,8271,938,3252,309,13510,622,02111,545,67553,110,105265,550,525
-1-5-23-25-115-137-575-685-3,151-3,371-3,425-15,755-16,855-77,533-78,775-84,275-387,665-461,827-1,938,325-2,309,135-10,622,021-11,545,675-53,110,105-265,550,525

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