Q: What are the factor combinations of the number 25,010,609?

 A:
Positive:   1 x 2501060913 x 1923893
Negative: -1 x -25010609-13 x -1923893


How do I find the factor combinations of the number 25,010,609?

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 25,010,609, 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 25,010,609
-1 -25,010,609

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 25,010,609.

Example:
1 x 25,010,609 = 25,010,609
and
-1 x -25,010,609 = 25,010,609
Notice both answers equal 25,010,609

With that explanation out of the way, let's continue. Next, we take the number 25,010,609 and divide it by 2:

25,010,609 ÷ 2 = 12,505,304.5

If the quotient is a whole number, then 2 and 12,505,304.5 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 25,010,609
-1 -25,010,609

Now, we try dividing 25,010,609 by 3:

25,010,609 ÷ 3 = 8,336,869.6667

If the quotient is a whole number, then 3 and 8,336,869.6667 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 25,010,609
-1 -25,010,609

Let's try dividing by 4:

25,010,609 ÷ 4 = 6,252,652.25

If the quotient is a whole number, then 4 and 6,252,652.25 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 25,010,609
-1 25,010,609
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,923,89325,010,609
-1-13-1,923,893-25,010,609

More Examples

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