Q: What are the factor combinations of the number 20,036,285?

 A:
Positive:   1 x 200362855 x 400725717 x 117860585 x 235721107 x 187255535 x 374511819 x 110152203 x 9095
Negative: -1 x -20036285-5 x -4007257-17 x -1178605-85 x -235721-107 x -187255-535 x -37451-1819 x -11015-2203 x -9095


How do I find the factor combinations of the number 20,036,285?

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 20,036,285, 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 20,036,285
-1 -20,036,285

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 20,036,285.

Example:
1 x 20,036,285 = 20,036,285
and
-1 x -20,036,285 = 20,036,285
Notice both answers equal 20,036,285

With that explanation out of the way, let's continue. Next, we take the number 20,036,285 and divide it by 2:

20,036,285 ÷ 2 = 10,018,142.5

If the quotient is a whole number, then 2 and 10,018,142.5 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 20,036,285
-1 -20,036,285

Now, we try dividing 20,036,285 by 3:

20,036,285 ÷ 3 = 6,678,761.6667

If the quotient is a whole number, then 3 and 6,678,761.6667 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 20,036,285
-1 -20,036,285

Let's try dividing by 4:

20,036,285 ÷ 4 = 5,009,071.25

If the quotient is a whole number, then 4 and 5,009,071.25 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 20,036,285
-1 20,036,285
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851075351,8192,2039,09511,01537,451187,255235,7211,178,6054,007,25720,036,285
-1-5-17-85-107-535-1,819-2,203-9,095-11,015-37,451-187,255-235,721-1,178,605-4,007,257-20,036,285

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