Q: What are the factor combinations of the number 25,355,015?

 A:
Positive:   1 x 253550155 x 50710037 x 362214535 x 72442941 x 618415205 x 123683287 x 883451435 x 17669
Negative: -1 x -25355015-5 x -5071003-7 x -3622145-35 x -724429-41 x -618415-205 x -123683-287 x -88345-1435 x -17669


How do I find the factor combinations of the number 25,355,015?

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 25,355,015, 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 25,355,015
-1 -25,355,015

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 25,355,015.

Example:
1 x 25,355,015 = 25,355,015
and
-1 x -25,355,015 = 25,355,015
Notice both answers equal 25,355,015

With that explanation out of the way, let's continue. Next, we take the number 25,355,015 and divide it by 2:

25,355,015 ÷ 2 = 12,677,507.5

If the quotient is a whole number, then 2 and 12,677,507.5 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 25,355,015
-1 -25,355,015

Now, we try dividing 25,355,015 by 3:

25,355,015 ÷ 3 = 8,451,671.6667

If the quotient is a whole number, then 3 and 8,451,671.6667 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 25,355,015
-1 -25,355,015

Let's try dividing by 4:

25,355,015 ÷ 4 = 6,338,753.75

If the quotient is a whole number, then 4 and 6,338,753.75 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 25,355,015
-1 25,355,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43517,66988,345123,683618,415724,4293,622,1455,071,00325,355,015
-1-5-7-35-41-205-287-1,435-17,669-88,345-123,683-618,415-724,429-3,622,145-5,071,003-25,355,015

More Examples

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