Q: What are the factor combinations of the number 20,343,697?

 A:
Positive:   1 x 2034369711 x 1849427859 x 236832153 x 9449
Negative: -1 x -20343697-11 x -1849427-859 x -23683-2153 x -9449


How do I find the factor combinations of the number 20,343,697?

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 20,343,697, 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 20,343,697
-1 -20,343,697

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 20,343,697.

Example:
1 x 20,343,697 = 20,343,697
and
-1 x -20,343,697 = 20,343,697
Notice both answers equal 20,343,697

With that explanation out of the way, let's continue. Next, we take the number 20,343,697 and divide it by 2:

20,343,697 ÷ 2 = 10,171,848.5

If the quotient is a whole number, then 2 and 10,171,848.5 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 20,343,697
-1 -20,343,697

Now, we try dividing 20,343,697 by 3:

20,343,697 ÷ 3 = 6,781,232.3333

If the quotient is a whole number, then 3 and 6,781,232.3333 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 20,343,697
-1 -20,343,697

Let's try dividing by 4:

20,343,697 ÷ 4 = 5,085,924.25

If the quotient is a whole number, then 4 and 5,085,924.25 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 20,343,697
-1 20,343,697
Keep dividing by the next highest number until you cannot divide anymore.

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

1118592,1539,44923,6831,849,42720,343,697
-1-11-859-2,153-9,449-23,683-1,849,427-20,343,697

More Examples

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