Q: What are the factor combinations of the number 20,371,337?

 A:
Positive:   1 x 203713377 x 2910191109 x 186893763 x 26699
Negative: -1 x -20371337-7 x -2910191-109 x -186893-763 x -26699


How do I find the factor combinations of the number 20,371,337?

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 20,371,337, 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 20,371,337
-1 -20,371,337

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 20,371,337.

Example:
1 x 20,371,337 = 20,371,337
and
-1 x -20,371,337 = 20,371,337
Notice both answers equal 20,371,337

With that explanation out of the way, let's continue. Next, we take the number 20,371,337 and divide it by 2:

20,371,337 ÷ 2 = 10,185,668.5

If the quotient is a whole number, then 2 and 10,185,668.5 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 20,371,337
-1 -20,371,337

Now, we try dividing 20,371,337 by 3:

20,371,337 ÷ 3 = 6,790,445.6667

If the quotient is a whole number, then 3 and 6,790,445.6667 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 20,371,337
-1 -20,371,337

Let's try dividing by 4:

20,371,337 ÷ 4 = 5,092,834.25

If the quotient is a whole number, then 4 and 5,092,834.25 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 20,371,337
-1 20,371,337
Keep dividing by the next highest number until you cannot divide anymore.

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

1710976326,699186,8932,910,19120,371,337
-1-7-109-763-26,699-186,893-2,910,191-20,371,337

More Examples

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