Q: What are the factor combinations of the number 20,446,223?

 A:
Positive:   1 x 204462237 x 292088917 x 120271919 x 1076117119 x 171817133 x 153731323 x 633012261 x 9043
Negative: -1 x -20446223-7 x -2920889-17 x -1202719-19 x -1076117-119 x -171817-133 x -153731-323 x -63301-2261 x -9043


How do I find the factor combinations of the number 20,446,223?

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 20,446,223, 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 20,446,223
-1 -20,446,223

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 20,446,223.

Example:
1 x 20,446,223 = 20,446,223
and
-1 x -20,446,223 = 20,446,223
Notice both answers equal 20,446,223

With that explanation out of the way, let's continue. Next, we take the number 20,446,223 and divide it by 2:

20,446,223 ÷ 2 = 10,223,111.5

If the quotient is a whole number, then 2 and 10,223,111.5 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 20,446,223
-1 -20,446,223

Now, we try dividing 20,446,223 by 3:

20,446,223 ÷ 3 = 6,815,407.6667

If the quotient is a whole number, then 3 and 6,815,407.6667 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 20,446,223
-1 -20,446,223

Let's try dividing by 4:

20,446,223 ÷ 4 = 5,111,555.75

If the quotient is a whole number, then 4 and 5,111,555.75 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 20,446,223
-1 20,446,223
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,2619,04363,301153,731171,8171,076,1171,202,7192,920,88920,446,223
-1-7-17-19-119-133-323-2,261-9,043-63,301-153,731-171,817-1,076,117-1,202,719-2,920,889-20,446,223

More Examples

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