Q: What are the factor combinations of the number 25,615,775?

 A:
Positive:   1 x 256157755 x 512315525 x 102463141 x 62477567 x 382325205 x 124955335 x 76465373 x 686751025 x 249911675 x 152931865 x 137352747 x 9325
Negative: -1 x -25615775-5 x -5123155-25 x -1024631-41 x -624775-67 x -382325-205 x -124955-335 x -76465-373 x -68675-1025 x -24991-1675 x -15293-1865 x -13735-2747 x -9325


How do I find the factor combinations of the number 25,615,775?

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 25,615,775, 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 25,615,775
-1 -25,615,775

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 25,615,775.

Example:
1 x 25,615,775 = 25,615,775
and
-1 x -25,615,775 = 25,615,775
Notice both answers equal 25,615,775

With that explanation out of the way, let's continue. Next, we take the number 25,615,775 and divide it by 2:

25,615,775 ÷ 2 = 12,807,887.5

If the quotient is a whole number, then 2 and 12,807,887.5 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 25,615,775
-1 -25,615,775

Now, we try dividing 25,615,775 by 3:

25,615,775 ÷ 3 = 8,538,591.6667

If the quotient is a whole number, then 3 and 8,538,591.6667 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 25,615,775
-1 -25,615,775

Let's try dividing by 4:

25,615,775 ÷ 4 = 6,403,943.75

If the quotient is a whole number, then 4 and 6,403,943.75 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 25,615,775
-1 25,615,775
Keep dividing by the next highest number until you cannot divide anymore.

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

152541672053353731,0251,6751,8652,7479,32513,73515,29324,99168,67576,465124,955382,325624,7751,024,6315,123,15525,615,775
-1-5-25-41-67-205-335-373-1,025-1,675-1,865-2,747-9,325-13,735-15,293-24,991-68,675-76,465-124,955-382,325-624,775-1,024,631-5,123,155-25,615,775

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