Q: What are the factor combinations of the number 25,233,725?

 A:
Positive:   1 x 252337255 x 504674511 x 229397525 x 100934955 x 45879589 x 283525275 x 91759445 x 56705979 x 257751031 x 244752225 x 113414895 x 5155
Negative: -1 x -25233725-5 x -5046745-11 x -2293975-25 x -1009349-55 x -458795-89 x -283525-275 x -91759-445 x -56705-979 x -25775-1031 x -24475-2225 x -11341-4895 x -5155


How do I find the factor combinations of the number 25,233,725?

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 25,233,725, 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 25,233,725
-1 -25,233,725

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 25,233,725.

Example:
1 x 25,233,725 = 25,233,725
and
-1 x -25,233,725 = 25,233,725
Notice both answers equal 25,233,725

With that explanation out of the way, let's continue. Next, we take the number 25,233,725 and divide it by 2:

25,233,725 ÷ 2 = 12,616,862.5

If the quotient is a whole number, then 2 and 12,616,862.5 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 25,233,725
-1 -25,233,725

Now, we try dividing 25,233,725 by 3:

25,233,725 ÷ 3 = 8,411,241.6667

If the quotient is a whole number, then 3 and 8,411,241.6667 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 25,233,725
-1 -25,233,725

Let's try dividing by 4:

25,233,725 ÷ 4 = 6,308,431.25

If the quotient is a whole number, then 4 and 6,308,431.25 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 25,233,725
-1 25,233,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555892754459791,0312,2254,8955,15511,34124,47525,77556,70591,759283,525458,7951,009,3492,293,9755,046,74525,233,725
-1-5-11-25-55-89-275-445-979-1,031-2,225-4,895-5,155-11,341-24,475-25,775-56,705-91,759-283,525-458,795-1,009,349-2,293,975-5,046,745-25,233,725

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