Q: What are the factor combinations of the number 25,362,635?

 A:
Positive:   1 x 253626355 x 5072527139 x 182465695 x 36493
Negative: -1 x -25362635-5 x -5072527-139 x -182465-695 x -36493


How do I find the factor combinations of the number 25,362,635?

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 25,362,635, 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 25,362,635
-1 -25,362,635

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 25,362,635.

Example:
1 x 25,362,635 = 25,362,635
and
-1 x -25,362,635 = 25,362,635
Notice both answers equal 25,362,635

With that explanation out of the way, let's continue. Next, we take the number 25,362,635 and divide it by 2:

25,362,635 ÷ 2 = 12,681,317.5

If the quotient is a whole number, then 2 and 12,681,317.5 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 25,362,635
-1 -25,362,635

Now, we try dividing 25,362,635 by 3:

25,362,635 ÷ 3 = 8,454,211.6667

If the quotient is a whole number, then 3 and 8,454,211.6667 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 25,362,635
-1 -25,362,635

Let's try dividing by 4:

25,362,635 ÷ 4 = 6,340,658.75

If the quotient is a whole number, then 4 and 6,340,658.75 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 25,362,635
-1 25,362,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1513969536,493182,4655,072,52725,362,635
-1-5-139-695-36,493-182,465-5,072,527-25,362,635

More Examples

Here are some more numbers to try:

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