Q: What are the factor combinations of the number 25,642,505?

 A:
Positive:   1 x 256425055 x 51285017 x 366321535 x 732643197 x 130165985 x 260331379 x 185953719 x 6895
Negative: -1 x -25642505-5 x -5128501-7 x -3663215-35 x -732643-197 x -130165-985 x -26033-1379 x -18595-3719 x -6895


How do I find the factor combinations of the number 25,642,505?

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 25,642,505, 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 25,642,505
-1 -25,642,505

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 25,642,505.

Example:
1 x 25,642,505 = 25,642,505
and
-1 x -25,642,505 = 25,642,505
Notice both answers equal 25,642,505

With that explanation out of the way, let's continue. Next, we take the number 25,642,505 and divide it by 2:

25,642,505 ÷ 2 = 12,821,252.5

If the quotient is a whole number, then 2 and 12,821,252.5 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 25,642,505
-1 -25,642,505

Now, we try dividing 25,642,505 by 3:

25,642,505 ÷ 3 = 8,547,501.6667

If the quotient is a whole number, then 3 and 8,547,501.6667 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 25,642,505
-1 -25,642,505

Let's try dividing by 4:

25,642,505 ÷ 4 = 6,410,626.25

If the quotient is a whole number, then 4 and 6,410,626.25 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 25,642,505
-1 25,642,505
Keep dividing by the next highest number until you cannot divide anymore.

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

157351979851,3793,7196,89518,59526,033130,165732,6433,663,2155,128,50125,642,505
-1-5-7-35-197-985-1,379-3,719-6,895-18,595-26,033-130,165-732,643-3,663,215-5,128,501-25,642,505

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