Q: What are the factor combinations of the number 20,022,233?

 A:
Positive:   1 x 200222337 x 286031911 x 182020349 x 40861777 x 260029121 x 165473307 x 65219539 x 37147847 x 236391331 x 150432149 x 93173377 x 5929
Negative: -1 x -20022233-7 x -2860319-11 x -1820203-49 x -408617-77 x -260029-121 x -165473-307 x -65219-539 x -37147-847 x -23639-1331 x -15043-2149 x -9317-3377 x -5929


How do I find the factor combinations of the number 20,022,233?

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 20,022,233, 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 20,022,233
-1 -20,022,233

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 20,022,233.

Example:
1 x 20,022,233 = 20,022,233
and
-1 x -20,022,233 = 20,022,233
Notice both answers equal 20,022,233

With that explanation out of the way, let's continue. Next, we take the number 20,022,233 and divide it by 2:

20,022,233 ÷ 2 = 10,011,116.5

If the quotient is a whole number, then 2 and 10,011,116.5 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 20,022,233
-1 -20,022,233

Now, we try dividing 20,022,233 by 3:

20,022,233 ÷ 3 = 6,674,077.6667

If the quotient is a whole number, then 3 and 6,674,077.6667 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 20,022,233
-1 -20,022,233

Let's try dividing by 4:

20,022,233 ÷ 4 = 5,005,558.25

If the quotient is a whole number, then 4 and 5,005,558.25 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 20,022,233
-1 20,022,233
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771213075398471,3312,1493,3775,9299,31715,04323,63937,14765,219165,473260,029408,6171,820,2032,860,31920,022,233
-1-7-11-49-77-121-307-539-847-1,331-2,149-3,377-5,929-9,317-15,043-23,639-37,147-65,219-165,473-260,029-408,617-1,820,203-2,860,319-20,022,233

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