Q: What are the factor combinations of the number 20,344,733?

 A:
Positive:   1 x 2034473317 x 119674941 x 496213101 x 201433289 x 70397697 x 291891717 x 118494141 x 4913
Negative: -1 x -20344733-17 x -1196749-41 x -496213-101 x -201433-289 x -70397-697 x -29189-1717 x -11849-4141 x -4913


How do I find the factor combinations of the number 20,344,733?

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 20,344,733, 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 20,344,733
-1 -20,344,733

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 20,344,733.

Example:
1 x 20,344,733 = 20,344,733
and
-1 x -20,344,733 = 20,344,733
Notice both answers equal 20,344,733

With that explanation out of the way, let's continue. Next, we take the number 20,344,733 and divide it by 2:

20,344,733 ÷ 2 = 10,172,366.5

If the quotient is a whole number, then 2 and 10,172,366.5 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 20,344,733
-1 -20,344,733

Now, we try dividing 20,344,733 by 3:

20,344,733 ÷ 3 = 6,781,577.6667

If the quotient is a whole number, then 3 and 6,781,577.6667 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 20,344,733
-1 -20,344,733

Let's try dividing by 4:

20,344,733 ÷ 4 = 5,086,183.25

If the quotient is a whole number, then 4 and 5,086,183.25 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 20,344,733
-1 20,344,733
Keep dividing by the next highest number until you cannot divide anymore.

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

117411012896971,7174,1414,91311,84929,18970,397201,433496,2131,196,74920,344,733
-1-17-41-101-289-697-1,717-4,141-4,913-11,849-29,189-70,397-201,433-496,213-1,196,749-20,344,733

More Examples

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