Q: What are the factor combinations of the number 21,025,375?

 A:
Positive:   1 x 210253755 x 42050757 x 300362525 x 84101535 x 600725125 x 168203175 x 120145875 x 24029
Negative: -1 x -21025375-5 x -4205075-7 x -3003625-25 x -841015-35 x -600725-125 x -168203-175 x -120145-875 x -24029


How do I find the factor combinations of the number 21,025,375?

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 21,025,375, 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 21,025,375
-1 -21,025,375

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 21,025,375.

Example:
1 x 21,025,375 = 21,025,375
and
-1 x -21,025,375 = 21,025,375
Notice both answers equal 21,025,375

With that explanation out of the way, let's continue. Next, we take the number 21,025,375 and divide it by 2:

21,025,375 ÷ 2 = 10,512,687.5

If the quotient is a whole number, then 2 and 10,512,687.5 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 21,025,375
-1 -21,025,375

Now, we try dividing 21,025,375 by 3:

21,025,375 ÷ 3 = 7,008,458.3333

If the quotient is a whole number, then 3 and 7,008,458.3333 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 21,025,375
-1 -21,025,375

Let's try dividing by 4:

21,025,375 ÷ 4 = 5,256,343.75

If the quotient is a whole number, then 4 and 5,256,343.75 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 21,025,375
-1 21,025,375
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587524,029120,145168,203600,725841,0153,003,6254,205,07521,025,375
-1-5-7-25-35-125-175-875-24,029-120,145-168,203-600,725-841,015-3,003,625-4,205,075-21,025,375

More Examples

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