Q: What are the factor combinations of the number 20,371,667?

 A:
Positive:   1 x 2037166719 x 1072193659 x 309131627 x 12521
Negative: -1 x -20371667-19 x -1072193-659 x -30913-1627 x -12521


How do I find the factor combinations of the number 20,371,667?

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 20,371,667, 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 20,371,667
-1 -20,371,667

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 20,371,667.

Example:
1 x 20,371,667 = 20,371,667
and
-1 x -20,371,667 = 20,371,667
Notice both answers equal 20,371,667

With that explanation out of the way, let's continue. Next, we take the number 20,371,667 and divide it by 2:

20,371,667 ÷ 2 = 10,185,833.5

If the quotient is a whole number, then 2 and 10,185,833.5 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 20,371,667
-1 -20,371,667

Now, we try dividing 20,371,667 by 3:

20,371,667 ÷ 3 = 6,790,555.6667

If the quotient is a whole number, then 3 and 6,790,555.6667 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 20,371,667
-1 -20,371,667

Let's try dividing by 4:

20,371,667 ÷ 4 = 5,092,916.75

If the quotient is a whole number, then 4 and 5,092,916.75 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 20,371,667
-1 20,371,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1196591,62712,52130,9131,072,19320,371,667
-1-19-659-1,627-12,521-30,913-1,072,193-20,371,667

More Examples

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