Q: What are the factor combinations of the number 20,046,767?

 A:
Positive:   1 x 2004676713 x 154205919 x 1055093247 x 81161277 x 72371293 x 684193601 x 55673809 x 5263
Negative: -1 x -20046767-13 x -1542059-19 x -1055093-247 x -81161-277 x -72371-293 x -68419-3601 x -5567-3809 x -5263


How do I find the factor combinations of the number 20,046,767?

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 20,046,767, 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 20,046,767
-1 -20,046,767

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 20,046,767.

Example:
1 x 20,046,767 = 20,046,767
and
-1 x -20,046,767 = 20,046,767
Notice both answers equal 20,046,767

With that explanation out of the way, let's continue. Next, we take the number 20,046,767 and divide it by 2:

20,046,767 ÷ 2 = 10,023,383.5

If the quotient is a whole number, then 2 and 10,023,383.5 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 20,046,767
-1 -20,046,767

Now, we try dividing 20,046,767 by 3:

20,046,767 ÷ 3 = 6,682,255.6667

If the quotient is a whole number, then 3 and 6,682,255.6667 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 20,046,767
-1 -20,046,767

Let's try dividing by 4:

20,046,767 ÷ 4 = 5,011,691.75

If the quotient is a whole number, then 4 and 5,011,691.75 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 20,046,767
-1 20,046,767
Keep dividing by the next highest number until you cannot divide anymore.

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

113192472772933,6013,8095,2635,56768,41972,37181,1611,055,0931,542,05920,046,767
-1-13-19-247-277-293-3,601-3,809-5,263-5,567-68,419-72,371-81,161-1,055,093-1,542,059-20,046,767

More Examples

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