Q: What are the factor combinations of the number 25,137,805?

 A:
Positive:   1 x 251378055 x 50275617 x 359111511 x 228525535 x 71822355 x 45705177 x 326465385 x 65293
Negative: -1 x -25137805-5 x -5027561-7 x -3591115-11 x -2285255-35 x -718223-55 x -457051-77 x -326465-385 x -65293


How do I find the factor combinations of the number 25,137,805?

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 25,137,805, 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 25,137,805
-1 -25,137,805

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 25,137,805.

Example:
1 x 25,137,805 = 25,137,805
and
-1 x -25,137,805 = 25,137,805
Notice both answers equal 25,137,805

With that explanation out of the way, let's continue. Next, we take the number 25,137,805 and divide it by 2:

25,137,805 ÷ 2 = 12,568,902.5

If the quotient is a whole number, then 2 and 12,568,902.5 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 25,137,805
-1 -25,137,805

Now, we try dividing 25,137,805 by 3:

25,137,805 ÷ 3 = 8,379,268.3333

If the quotient is a whole number, then 3 and 8,379,268.3333 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 25,137,805
-1 -25,137,805

Let's try dividing by 4:

25,137,805 ÷ 4 = 6,284,451.25

If the quotient is a whole number, then 4 and 6,284,451.25 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 25,137,805
-1 25,137,805
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738565,293326,465457,051718,2232,285,2553,591,1155,027,56125,137,805
-1-5-7-11-35-55-77-385-65,293-326,465-457,051-718,223-2,285,255-3,591,115-5,027,561-25,137,805

More Examples

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