Q: What are the factor combinations of the number 25,263,793?

 A:
Positive:   1 x 25263793
Negative: -1 x -25263793


How do I find the factor combinations of the number 25,263,793?

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 25,263,793, 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 25,263,793
-1 -25,263,793

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 25,263,793.

Example:
1 x 25,263,793 = 25,263,793
and
-1 x -25,263,793 = 25,263,793
Notice both answers equal 25,263,793

With that explanation out of the way, let's continue. Next, we take the number 25,263,793 and divide it by 2:

25,263,793 ÷ 2 = 12,631,896.5

If the quotient is a whole number, then 2 and 12,631,896.5 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 25,263,793
-1 -25,263,793

Now, we try dividing 25,263,793 by 3:

25,263,793 ÷ 3 = 8,421,264.3333

If the quotient is a whole number, then 3 and 8,421,264.3333 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 25,263,793
-1 -25,263,793

Let's try dividing by 4:

25,263,793 ÷ 4 = 6,315,948.25

If the quotient is a whole number, then 4 and 6,315,948.25 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 25,263,793
-1 25,263,793
Keep dividing by the next highest number until you cannot divide anymore.

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

125,263,793
-1-25,263,793

More Examples

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