Q: What are the factor combinations of the number 265,080,629?

 A:
Positive:   1 x 26508062911 x 2409823979 x 3355451121 x 2190749869 x 3050411331 x 1991592521 x 1051499559 x 27731
Negative: -1 x -265080629-11 x -24098239-79 x -3355451-121 x -2190749-869 x -305041-1331 x -199159-2521 x -105149-9559 x -27731


How do I find the factor combinations of the number 265,080,629?

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 265,080,629, 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.

1 265,080,629
-1 -265,080,629

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 265,080,629.

Example:
1 x 265,080,629 = 265,080,629
and
-1 x -265,080,629 = 265,080,629
Notice both answers equal 265,080,629

With that explanation out of the way, let's continue. Next, we take the number 265,080,629 and divide it by 2:

265,080,629 ÷ 2 = 132,540,314.5

If the quotient is a whole number, then 2 and 132,540,314.5 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:

1 265,080,629
-1 -265,080,629

Now, we try dividing 265,080,629 by 3:

265,080,629 ÷ 3 = 88,360,209.6667

If the quotient is a whole number, then 3 and 88,360,209.6667 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:

1 265,080,629
-1 -265,080,629

Let's try dividing by 4:

265,080,629 ÷ 4 = 66,270,157.25

If the quotient is a whole number, then 4 and 66,270,157.25 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:

1 265,080,629
-1 265,080,629
Keep dividing by the next highest number until you cannot divide anymore.

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

111791218691,3312,5219,55927,731105,149199,159305,0412,190,7493,355,45124,098,239265,080,629
-1-11-79-121-869-1,331-2,521-9,559-27,731-105,149-199,159-305,041-2,190,749-3,355,451-24,098,239-265,080,629

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