Q: What are the factor combinations of the number 20,141,375?

 A:
Positive:   1 x 201413755 x 402827525 x 805655125 x 161131269 x 74875599 x 336251345 x 149752995 x 6725
Negative: -1 x -20141375-5 x -4028275-25 x -805655-125 x -161131-269 x -74875-599 x -33625-1345 x -14975-2995 x -6725


How do I find the factor combinations of the number 20,141,375?

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 20,141,375, 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 20,141,375
-1 -20,141,375

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 20,141,375.

Example:
1 x 20,141,375 = 20,141,375
and
-1 x -20,141,375 = 20,141,375
Notice both answers equal 20,141,375

With that explanation out of the way, let's continue. Next, we take the number 20,141,375 and divide it by 2:

20,141,375 ÷ 2 = 10,070,687.5

If the quotient is a whole number, then 2 and 10,070,687.5 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 20,141,375
-1 -20,141,375

Now, we try dividing 20,141,375 by 3:

20,141,375 ÷ 3 = 6,713,791.6667

If the quotient is a whole number, then 3 and 6,713,791.6667 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 20,141,375
-1 -20,141,375

Let's try dividing by 4:

20,141,375 ÷ 4 = 5,035,343.75

If the quotient is a whole number, then 4 and 5,035,343.75 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 20,141,375
-1 20,141,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252695991,3452,9956,72514,97533,62574,875161,131805,6554,028,27520,141,375
-1-5-25-125-269-599-1,345-2,995-6,725-14,975-33,625-74,875-161,131-805,655-4,028,275-20,141,375

More Examples

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