Q: What are the factor combinations of the number 20,042,245?

 A:
Positive:   1 x 200422455 x 400844919 x 105485595 x 210971113 x 177365565 x 354731867 x 107352147 x 9335
Negative: -1 x -20042245-5 x -4008449-19 x -1054855-95 x -210971-113 x -177365-565 x -35473-1867 x -10735-2147 x -9335


How do I find the factor combinations of the number 20,042,245?

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 20,042,245, 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 20,042,245
-1 -20,042,245

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 20,042,245.

Example:
1 x 20,042,245 = 20,042,245
and
-1 x -20,042,245 = 20,042,245
Notice both answers equal 20,042,245

With that explanation out of the way, let's continue. Next, we take the number 20,042,245 and divide it by 2:

20,042,245 ÷ 2 = 10,021,122.5

If the quotient is a whole number, then 2 and 10,021,122.5 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 20,042,245
-1 -20,042,245

Now, we try dividing 20,042,245 by 3:

20,042,245 ÷ 3 = 6,680,748.3333

If the quotient is a whole number, then 3 and 6,680,748.3333 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 20,042,245
-1 -20,042,245

Let's try dividing by 4:

20,042,245 ÷ 4 = 5,010,561.25

If the quotient is a whole number, then 4 and 5,010,561.25 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 20,042,245
-1 20,042,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951135651,8672,1479,33510,73535,473177,365210,9711,054,8554,008,44920,042,245
-1-5-19-95-113-565-1,867-2,147-9,335-10,735-35,473-177,365-210,971-1,054,855-4,008,449-20,042,245

More Examples

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