Q: What are the factor combinations of the number 20,342,045?

 A:
Positive:   1 x 203420455 x 406840931 x 65619537 x 549785155 x 131239185 x 1099571147 x 177353547 x 5735
Negative: -1 x -20342045-5 x -4068409-31 x -656195-37 x -549785-155 x -131239-185 x -109957-1147 x -17735-3547 x -5735


How do I find the factor combinations of the number 20,342,045?

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 20,342,045, 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 20,342,045
-1 -20,342,045

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 20,342,045.

Example:
1 x 20,342,045 = 20,342,045
and
-1 x -20,342,045 = 20,342,045
Notice both answers equal 20,342,045

With that explanation out of the way, let's continue. Next, we take the number 20,342,045 and divide it by 2:

20,342,045 ÷ 2 = 10,171,022.5

If the quotient is a whole number, then 2 and 10,171,022.5 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 20,342,045
-1 -20,342,045

Now, we try dividing 20,342,045 by 3:

20,342,045 ÷ 3 = 6,780,681.6667

If the quotient is a whole number, then 3 and 6,780,681.6667 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 20,342,045
-1 -20,342,045

Let's try dividing by 4:

20,342,045 ÷ 4 = 5,085,511.25

If the quotient is a whole number, then 4 and 5,085,511.25 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 20,342,045
-1 20,342,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551851,1473,5475,73517,735109,957131,239549,785656,1954,068,40920,342,045
-1-5-31-37-155-185-1,147-3,547-5,735-17,735-109,957-131,239-549,785-656,195-4,068,409-20,342,045

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