Q: What are the factor combinations of the number 20,065,067?

 A:
Positive:   1 x 2006506711 x 1824097121 x 165827139 x 1443531193 x 168191529 x 13123
Negative: -1 x -20065067-11 x -1824097-121 x -165827-139 x -144353-1193 x -16819-1529 x -13123


How do I find the factor combinations of the number 20,065,067?

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 20,065,067, 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 20,065,067
-1 -20,065,067

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 20,065,067.

Example:
1 x 20,065,067 = 20,065,067
and
-1 x -20,065,067 = 20,065,067
Notice both answers equal 20,065,067

With that explanation out of the way, let's continue. Next, we take the number 20,065,067 and divide it by 2:

20,065,067 ÷ 2 = 10,032,533.5

If the quotient is a whole number, then 2 and 10,032,533.5 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 20,065,067
-1 -20,065,067

Now, we try dividing 20,065,067 by 3:

20,065,067 ÷ 3 = 6,688,355.6667

If the quotient is a whole number, then 3 and 6,688,355.6667 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 20,065,067
-1 -20,065,067

Let's try dividing by 4:

20,065,067 ÷ 4 = 5,016,266.75

If the quotient is a whole number, then 4 and 5,016,266.75 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 20,065,067
-1 20,065,067
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211391,1931,52913,12316,819144,353165,8271,824,09720,065,067
-1-11-121-139-1,193-1,529-13,123-16,819-144,353-165,827-1,824,097-20,065,067

More Examples

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