Q: What are the factor combinations of the number 20,558,573?

 A:
Positive:   1 x 205585737 x 293693923 x 893851149 x 137977161 x 127693857 x 239891043 x 197113427 x 5999
Negative: -1 x -20558573-7 x -2936939-23 x -893851-149 x -137977-161 x -127693-857 x -23989-1043 x -19711-3427 x -5999


How do I find the factor combinations of the number 20,558,573?

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 20,558,573, 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 20,558,573
-1 -20,558,573

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 20,558,573.

Example:
1 x 20,558,573 = 20,558,573
and
-1 x -20,558,573 = 20,558,573
Notice both answers equal 20,558,573

With that explanation out of the way, let's continue. Next, we take the number 20,558,573 and divide it by 2:

20,558,573 ÷ 2 = 10,279,286.5

If the quotient is a whole number, then 2 and 10,279,286.5 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 20,558,573
-1 -20,558,573

Now, we try dividing 20,558,573 by 3:

20,558,573 ÷ 3 = 6,852,857.6667

If the quotient is a whole number, then 3 and 6,852,857.6667 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 20,558,573
-1 -20,558,573

Let's try dividing by 4:

20,558,573 ÷ 4 = 5,139,643.25

If the quotient is a whole number, then 4 and 5,139,643.25 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 20,558,573
-1 20,558,573
Keep dividing by the next highest number until you cannot divide anymore.

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

17231491618571,0433,4275,99919,71123,989127,693137,977893,8512,936,93920,558,573
-1-7-23-149-161-857-1,043-3,427-5,999-19,711-23,989-127,693-137,977-893,851-2,936,939-20,558,573

More Examples

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