Q: What are the factor combinations of the number 20,022,143?

 A:
Positive:   1 x 2002214319 x 105379737 x 541139361 x 55463703 x 284811499 x 13357
Negative: -1 x -20022143-19 x -1053797-37 x -541139-361 x -55463-703 x -28481-1499 x -13357


How do I find the factor combinations of the number 20,022,143?

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 20,022,143, 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 20,022,143
-1 -20,022,143

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 20,022,143.

Example:
1 x 20,022,143 = 20,022,143
and
-1 x -20,022,143 = 20,022,143
Notice both answers equal 20,022,143

With that explanation out of the way, let's continue. Next, we take the number 20,022,143 and divide it by 2:

20,022,143 ÷ 2 = 10,011,071.5

If the quotient is a whole number, then 2 and 10,011,071.5 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 20,022,143
-1 -20,022,143

Now, we try dividing 20,022,143 by 3:

20,022,143 ÷ 3 = 6,674,047.6667

If the quotient is a whole number, then 3 and 6,674,047.6667 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 20,022,143
-1 -20,022,143

Let's try dividing by 4:

20,022,143 ÷ 4 = 5,005,535.75

If the quotient is a whole number, then 4 and 5,005,535.75 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 20,022,143
-1 20,022,143
Keep dividing by the next highest number until you cannot divide anymore.

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

119373617031,49913,35728,48155,463541,1391,053,79720,022,143
-1-19-37-361-703-1,499-13,357-28,481-55,463-541,139-1,053,797-20,022,143

More Examples

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