Q: What are the factor combinations of the number 25,250,533?

 A:
Positive:   1 x 252505337 x 360721911 x 229550349 x 51531777 x 32792979 x 319627539 x 46847553 x 45661593 x 42581869 x 290573871 x 65234151 x 6083
Negative: -1 x -25250533-7 x -3607219-11 x -2295503-49 x -515317-77 x -327929-79 x -319627-539 x -46847-553 x -45661-593 x -42581-869 x -29057-3871 x -6523-4151 x -6083


How do I find the factor combinations of the number 25,250,533?

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 25,250,533, 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 25,250,533
-1 -25,250,533

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 25,250,533.

Example:
1 x 25,250,533 = 25,250,533
and
-1 x -25,250,533 = 25,250,533
Notice both answers equal 25,250,533

With that explanation out of the way, let's continue. Next, we take the number 25,250,533 and divide it by 2:

25,250,533 ÷ 2 = 12,625,266.5

If the quotient is a whole number, then 2 and 12,625,266.5 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 25,250,533
-1 -25,250,533

Now, we try dividing 25,250,533 by 3:

25,250,533 ÷ 3 = 8,416,844.3333

If the quotient is a whole number, then 3 and 8,416,844.3333 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 25,250,533
-1 -25,250,533

Let's try dividing by 4:

25,250,533 ÷ 4 = 6,312,633.25

If the quotient is a whole number, then 4 and 6,312,633.25 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 25,250,533
-1 25,250,533
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977795395535938693,8714,1516,0836,52329,05742,58145,66146,847319,627327,929515,3172,295,5033,607,21925,250,533
-1-7-11-49-77-79-539-553-593-869-3,871-4,151-6,083-6,523-29,057-42,581-45,661-46,847-319,627-327,929-515,317-2,295,503-3,607,219-25,250,533

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