Q: What are the factor combinations of the number 276,740,825?

 A:
Positive:   1 x 2767408255 x 5534816525 x 1106963353 x 5221525265 x 1044305331 x 836075631 x 4385751325 x 2088611655 x 1672153155 x 877158275 x 3344315775 x 17543
Negative: -1 x -276740825-5 x -55348165-25 x -11069633-53 x -5221525-265 x -1044305-331 x -836075-631 x -438575-1325 x -208861-1655 x -167215-3155 x -87715-8275 x -33443-15775 x -17543


How do I find the factor combinations of the number 276,740,825?

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 276,740,825, 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.

1 276,740,825
-1 -276,740,825

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 276,740,825.

Example:
1 x 276,740,825 = 276,740,825
and
-1 x -276,740,825 = 276,740,825
Notice both answers equal 276,740,825

With that explanation out of the way, let's continue. Next, we take the number 276,740,825 and divide it by 2:

276,740,825 ÷ 2 = 138,370,412.5

If the quotient is a whole number, then 2 and 138,370,412.5 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:

1 276,740,825
-1 -276,740,825

Now, we try dividing 276,740,825 by 3:

276,740,825 ÷ 3 = 92,246,941.6667

If the quotient is a whole number, then 3 and 92,246,941.6667 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:

1 276,740,825
-1 -276,740,825

Let's try dividing by 4:

276,740,825 ÷ 4 = 69,185,206.25

If the quotient is a whole number, then 4 and 69,185,206.25 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:

1 276,740,825
-1 276,740,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1525532653316311,3251,6553,1558,27515,77517,54333,44387,715167,215208,861438,575836,0751,044,3055,221,52511,069,63355,348,165276,740,825
-1-5-25-53-265-331-631-1,325-1,655-3,155-8,275-15,775-17,543-33,443-87,715-167,215-208,861-438,575-836,075-1,044,305-5,221,525-11,069,633-55,348,165-276,740,825

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