Q: What are the factor combinations of the number 20,022,541?

 A:
Positive:   1 x 200225417 x 286036311 x 182023177 x 260033457 x 43813569 x 351893199 x 62593983 x 5027
Negative: -1 x -20022541-7 x -2860363-11 x -1820231-77 x -260033-457 x -43813-569 x -35189-3199 x -6259-3983 x -5027


How do I find the factor combinations of the number 20,022,541?

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 20,022,541, 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 20,022,541
-1 -20,022,541

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 20,022,541.

Example:
1 x 20,022,541 = 20,022,541
and
-1 x -20,022,541 = 20,022,541
Notice both answers equal 20,022,541

With that explanation out of the way, let's continue. Next, we take the number 20,022,541 and divide it by 2:

20,022,541 ÷ 2 = 10,011,270.5

If the quotient is a whole number, then 2 and 10,011,270.5 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 20,022,541
-1 -20,022,541

Now, we try dividing 20,022,541 by 3:

20,022,541 ÷ 3 = 6,674,180.3333

If the quotient is a whole number, then 3 and 6,674,180.3333 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 20,022,541
-1 -20,022,541

Let's try dividing by 4:

20,022,541 ÷ 4 = 5,005,635.25

If the quotient is a whole number, then 4 and 5,005,635.25 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 20,022,541
-1 20,022,541
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774575693,1993,9835,0276,25935,18943,813260,0331,820,2312,860,36320,022,541
-1-7-11-77-457-569-3,199-3,983-5,027-6,259-35,189-43,813-260,033-1,820,231-2,860,363-20,022,541

More Examples

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