Q: What are the factor combinations of the number 20,436,875?

 A:
Positive:   1 x 204368755 x 408737519 x 107562525 x 81747595 x 215125125 x 163495475 x 43025625 x 326991721 x 118752375 x 8605
Negative: -1 x -20436875-5 x -4087375-19 x -1075625-25 x -817475-95 x -215125-125 x -163495-475 x -43025-625 x -32699-1721 x -11875-2375 x -8605


How do I find the factor combinations of the number 20,436,875?

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 20,436,875, 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 20,436,875
-1 -20,436,875

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 20,436,875.

Example:
1 x 20,436,875 = 20,436,875
and
-1 x -20,436,875 = 20,436,875
Notice both answers equal 20,436,875

With that explanation out of the way, let's continue. Next, we take the number 20,436,875 and divide it by 2:

20,436,875 ÷ 2 = 10,218,437.5

If the quotient is a whole number, then 2 and 10,218,437.5 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 20,436,875
-1 -20,436,875

Now, we try dividing 20,436,875 by 3:

20,436,875 ÷ 3 = 6,812,291.6667

If the quotient is a whole number, then 3 and 6,812,291.6667 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 20,436,875
-1 -20,436,875

Let's try dividing by 4:

20,436,875 ÷ 4 = 5,109,218.75

If the quotient is a whole number, then 4 and 5,109,218.75 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 20,436,875
-1 20,436,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254756251,7212,3758,60511,87532,69943,025163,495215,125817,4751,075,6254,087,37520,436,875
-1-5-19-25-95-125-475-625-1,721-2,375-8,605-11,875-32,699-43,025-163,495-215,125-817,475-1,075,625-4,087,375-20,436,875

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