Q: What are the factor combinations of the number 20,293,223?

 A:
Positive:   1 x 2029322317 x 119371953 x 382891101 x 200923223 x 91001901 x 225231717 x 118193791 x 5353
Negative: -1 x -20293223-17 x -1193719-53 x -382891-101 x -200923-223 x -91001-901 x -22523-1717 x -11819-3791 x -5353


How do I find the factor combinations of the number 20,293,223?

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 20,293,223, 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 20,293,223
-1 -20,293,223

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 20,293,223.

Example:
1 x 20,293,223 = 20,293,223
and
-1 x -20,293,223 = 20,293,223
Notice both answers equal 20,293,223

With that explanation out of the way, let's continue. Next, we take the number 20,293,223 and divide it by 2:

20,293,223 ÷ 2 = 10,146,611.5

If the quotient is a whole number, then 2 and 10,146,611.5 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 20,293,223
-1 -20,293,223

Now, we try dividing 20,293,223 by 3:

20,293,223 ÷ 3 = 6,764,407.6667

If the quotient is a whole number, then 3 and 6,764,407.6667 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 20,293,223
-1 -20,293,223

Let's try dividing by 4:

20,293,223 ÷ 4 = 5,073,305.75

If the quotient is a whole number, then 4 and 5,073,305.75 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 20,293,223
-1 20,293,223
Keep dividing by the next highest number until you cannot divide anymore.

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

117531012239011,7173,7915,35311,81922,52391,001200,923382,8911,193,71920,293,223
-1-17-53-101-223-901-1,717-3,791-5,353-11,819-22,523-91,001-200,923-382,891-1,193,719-20,293,223

More Examples

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