Q: What are the factor combinations of the number 20,793,929?

 A:
Positive:   1 x 2079392913 x 159953341 x 507169169 x 123041533 x 390133001 x 6929
Negative: -1 x -20793929-13 x -1599533-41 x -507169-169 x -123041-533 x -39013-3001 x -6929


How do I find the factor combinations of the number 20,793,929?

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 20,793,929, 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 20,793,929
-1 -20,793,929

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 20,793,929.

Example:
1 x 20,793,929 = 20,793,929
and
-1 x -20,793,929 = 20,793,929
Notice both answers equal 20,793,929

With that explanation out of the way, let's continue. Next, we take the number 20,793,929 and divide it by 2:

20,793,929 ÷ 2 = 10,396,964.5

If the quotient is a whole number, then 2 and 10,396,964.5 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 20,793,929
-1 -20,793,929

Now, we try dividing 20,793,929 by 3:

20,793,929 ÷ 3 = 6,931,309.6667

If the quotient is a whole number, then 3 and 6,931,309.6667 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 20,793,929
-1 -20,793,929

Let's try dividing by 4:

20,793,929 ÷ 4 = 5,198,482.25

If the quotient is a whole number, then 4 and 5,198,482.25 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 20,793,929
-1 20,793,929
Keep dividing by the next highest number until you cannot divide anymore.

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

113411695333,0016,92939,013123,041507,1691,599,53320,793,929
-1-13-41-169-533-3,001-6,929-39,013-123,041-507,169-1,599,533-20,793,929

More Examples

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