Q: What are the factor combinations of the number 20,489,231?

 A:
Positive:   1 x 204892317 x 292703337 x 553763239 x 85729259 x 79109331 x 619011673 x 122472317 x 8843
Negative: -1 x -20489231-7 x -2927033-37 x -553763-239 x -85729-259 x -79109-331 x -61901-1673 x -12247-2317 x -8843


How do I find the factor combinations of the number 20,489,231?

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 20,489,231, 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 20,489,231
-1 -20,489,231

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 20,489,231.

Example:
1 x 20,489,231 = 20,489,231
and
-1 x -20,489,231 = 20,489,231
Notice both answers equal 20,489,231

With that explanation out of the way, let's continue. Next, we take the number 20,489,231 and divide it by 2:

20,489,231 ÷ 2 = 10,244,615.5

If the quotient is a whole number, then 2 and 10,244,615.5 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 20,489,231
-1 -20,489,231

Now, we try dividing 20,489,231 by 3:

20,489,231 ÷ 3 = 6,829,743.6667

If the quotient is a whole number, then 3 and 6,829,743.6667 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 20,489,231
-1 -20,489,231

Let's try dividing by 4:

20,489,231 ÷ 4 = 5,122,307.75

If the quotient is a whole number, then 4 and 5,122,307.75 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 20,489,231
-1 20,489,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17372392593311,6732,3178,84312,24761,90179,10985,729553,7632,927,03320,489,231
-1-7-37-239-259-331-1,673-2,317-8,843-12,247-61,901-79,109-85,729-553,763-2,927,033-20,489,231

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