Q: What are the factor combinations of the number 25,499,999?

 A:
Positive:   1 x 254999997 x 364285767 x 380597469 x 54371
Negative: -1 x -25499999-7 x -3642857-67 x -380597-469 x -54371


How do I find the factor combinations of the number 25,499,999?

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 25,499,999, 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 25,499,999
-1 -25,499,999

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 25,499,999.

Example:
1 x 25,499,999 = 25,499,999
and
-1 x -25,499,999 = 25,499,999
Notice both answers equal 25,499,999

With that explanation out of the way, let's continue. Next, we take the number 25,499,999 and divide it by 2:

25,499,999 ÷ 2 = 12,749,999.5

If the quotient is a whole number, then 2 and 12,749,999.5 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 25,499,999
-1 -25,499,999

Now, we try dividing 25,499,999 by 3:

25,499,999 ÷ 3 = 8,499,999.6667

If the quotient is a whole number, then 3 and 8,499,999.6667 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 25,499,999
-1 -25,499,999

Let's try dividing by 4:

25,499,999 ÷ 4 = 6,374,999.75

If the quotient is a whole number, then 4 and 6,374,999.75 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 25,499,999
-1 25,499,999
Keep dividing by the next highest number until you cannot divide anymore.

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

176746954,371380,5973,642,85725,499,999
-1-7-67-469-54,371-380,597-3,642,857-25,499,999

More Examples

Here are some more numbers to try:

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