Q: What are the factor combinations of the number 20,022,029?

 A:
Positive:   1 x 2002202919 x 105379123 x 870523437 x 45817
Negative: -1 x -20022029-19 x -1053791-23 x -870523-437 x -45817


How do I find the factor combinations of the number 20,022,029?

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 20,022,029, 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 20,022,029
-1 -20,022,029

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 20,022,029.

Example:
1 x 20,022,029 = 20,022,029
and
-1 x -20,022,029 = 20,022,029
Notice both answers equal 20,022,029

With that explanation out of the way, let's continue. Next, we take the number 20,022,029 and divide it by 2:

20,022,029 ÷ 2 = 10,011,014.5

If the quotient is a whole number, then 2 and 10,011,014.5 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 20,022,029
-1 -20,022,029

Now, we try dividing 20,022,029 by 3:

20,022,029 ÷ 3 = 6,674,009.6667

If the quotient is a whole number, then 3 and 6,674,009.6667 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 20,022,029
-1 -20,022,029

Let's try dividing by 4:

20,022,029 ÷ 4 = 5,005,507.25

If the quotient is a whole number, then 4 and 5,005,507.25 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 20,022,029
-1 20,022,029
Keep dividing by the next highest number until you cannot divide anymore.

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

1192343745,817870,5231,053,79120,022,029
-1-19-23-437-45,817-870,523-1,053,791-20,022,029

More Examples

Here are some more numbers to try:

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