Q: What are the factor combinations of the number 20,201,867?

 A:
Positive:   1 x 202018677 x 288598149 x 412283149 x 1355831043 x 193692767 x 7301
Negative: -1 x -20201867-7 x -2885981-49 x -412283-149 x -135583-1043 x -19369-2767 x -7301


How do I find the factor combinations of the number 20,201,867?

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 20,201,867, 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 20,201,867
-1 -20,201,867

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 20,201,867.

Example:
1 x 20,201,867 = 20,201,867
and
-1 x -20,201,867 = 20,201,867
Notice both answers equal 20,201,867

With that explanation out of the way, let's continue. Next, we take the number 20,201,867 and divide it by 2:

20,201,867 ÷ 2 = 10,100,933.5

If the quotient is a whole number, then 2 and 10,100,933.5 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 20,201,867
-1 -20,201,867

Now, we try dividing 20,201,867 by 3:

20,201,867 ÷ 3 = 6,733,955.6667

If the quotient is a whole number, then 3 and 6,733,955.6667 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 20,201,867
-1 -20,201,867

Let's try dividing by 4:

20,201,867 ÷ 4 = 5,050,466.75

If the quotient is a whole number, then 4 and 5,050,466.75 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 20,201,867
-1 20,201,867
Keep dividing by the next highest number until you cannot divide anymore.

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

17491491,0432,7677,30119,369135,583412,2832,885,98120,201,867
-1-7-49-149-1,043-2,767-7,301-19,369-135,583-412,283-2,885,981-20,201,867

More Examples

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