Q: What are the factor combinations of the number 25,501,499?

 A:
Positive:   1 x 2550149931 x 822629149 x 1711514619 x 5521
Negative: -1 x -25501499-31 x -822629-149 x -171151-4619 x -5521


How do I find the factor combinations of the number 25,501,499?

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 25,501,499, 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 25,501,499
-1 -25,501,499

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 25,501,499.

Example:
1 x 25,501,499 = 25,501,499
and
-1 x -25,501,499 = 25,501,499
Notice both answers equal 25,501,499

With that explanation out of the way, let's continue. Next, we take the number 25,501,499 and divide it by 2:

25,501,499 ÷ 2 = 12,750,749.5

If the quotient is a whole number, then 2 and 12,750,749.5 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 25,501,499
-1 -25,501,499

Now, we try dividing 25,501,499 by 3:

25,501,499 ÷ 3 = 8,500,499.6667

If the quotient is a whole number, then 3 and 8,500,499.6667 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 25,501,499
-1 -25,501,499

Let's try dividing by 4:

25,501,499 ÷ 4 = 6,375,374.75

If the quotient is a whole number, then 4 and 6,375,374.75 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 25,501,499
-1 25,501,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1311494,6195,521171,151822,62925,501,499
-1-31-149-4,619-5,521-171,151-822,629-25,501,499

More Examples

Here are some more numbers to try:

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