Q: What are the factor combinations of the number 25,432,555?

 A:
Positive:   1 x 254325555 x 508651131 x 82040571 x 358205155 x 164081355 x 716412201 x 115552311 x 11005
Negative: -1 x -25432555-5 x -5086511-31 x -820405-71 x -358205-155 x -164081-355 x -71641-2201 x -11555-2311 x -11005


How do I find the factor combinations of the number 25,432,555?

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 25,432,555, 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 25,432,555
-1 -25,432,555

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 25,432,555.

Example:
1 x 25,432,555 = 25,432,555
and
-1 x -25,432,555 = 25,432,555
Notice both answers equal 25,432,555

With that explanation out of the way, let's continue. Next, we take the number 25,432,555 and divide it by 2:

25,432,555 ÷ 2 = 12,716,277.5

If the quotient is a whole number, then 2 and 12,716,277.5 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 25,432,555
-1 -25,432,555

Now, we try dividing 25,432,555 by 3:

25,432,555 ÷ 3 = 8,477,518.3333

If the quotient is a whole number, then 3 and 8,477,518.3333 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 25,432,555
-1 -25,432,555

Let's try dividing by 4:

25,432,555 ÷ 4 = 6,358,138.75

If the quotient is a whole number, then 4 and 6,358,138.75 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 25,432,555
-1 25,432,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1531711553552,2012,31111,00511,55571,641164,081358,205820,4055,086,51125,432,555
-1-5-31-71-155-355-2,201-2,311-11,005-11,555-71,641-164,081-358,205-820,405-5,086,511-25,432,555

More Examples

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