Q: What are the factor combinations of the number 20,337,583?

 A:
Positive:   1 x 203375837 x 290536961 x 333403427 x 47629
Negative: -1 x -20337583-7 x -2905369-61 x -333403-427 x -47629


How do I find the factor combinations of the number 20,337,583?

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 20,337,583, 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 20,337,583
-1 -20,337,583

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 20,337,583.

Example:
1 x 20,337,583 = 20,337,583
and
-1 x -20,337,583 = 20,337,583
Notice both answers equal 20,337,583

With that explanation out of the way, let's continue. Next, we take the number 20,337,583 and divide it by 2:

20,337,583 ÷ 2 = 10,168,791.5

If the quotient is a whole number, then 2 and 10,168,791.5 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 20,337,583
-1 -20,337,583

Now, we try dividing 20,337,583 by 3:

20,337,583 ÷ 3 = 6,779,194.3333

If the quotient is a whole number, then 3 and 6,779,194.3333 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 20,337,583
-1 -20,337,583

Let's try dividing by 4:

20,337,583 ÷ 4 = 5,084,395.75

If the quotient is a whole number, then 4 and 5,084,395.75 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 20,337,583
-1 20,337,583
Keep dividing by the next highest number until you cannot divide anymore.

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

176142747,629333,4032,905,36920,337,583
-1-7-61-427-47,629-333,403-2,905,369-20,337,583

More Examples

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