Q: What are the factor combinations of the number 20,372,009?

 A:
Positive:   1 x 203720097 x 291028719 x 107221147 x 433447133 x 153173329 x 61921893 x 228133259 x 6251
Negative: -1 x -20372009-7 x -2910287-19 x -1072211-47 x -433447-133 x -153173-329 x -61921-893 x -22813-3259 x -6251


How do I find the factor combinations of the number 20,372,009?

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 20,372,009, 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 20,372,009
-1 -20,372,009

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 20,372,009.

Example:
1 x 20,372,009 = 20,372,009
and
-1 x -20,372,009 = 20,372,009
Notice both answers equal 20,372,009

With that explanation out of the way, let's continue. Next, we take the number 20,372,009 and divide it by 2:

20,372,009 ÷ 2 = 10,186,004.5

If the quotient is a whole number, then 2 and 10,186,004.5 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 20,372,009
-1 -20,372,009

Now, we try dividing 20,372,009 by 3:

20,372,009 ÷ 3 = 6,790,669.6667

If the quotient is a whole number, then 3 and 6,790,669.6667 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 20,372,009
-1 -20,372,009

Let's try dividing by 4:

20,372,009 ÷ 4 = 5,093,002.25

If the quotient is a whole number, then 4 and 5,093,002.25 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 20,372,009
-1 20,372,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1719471333298933,2596,25122,81361,921153,173433,4471,072,2112,910,28720,372,009
-1-7-19-47-133-329-893-3,259-6,251-22,813-61,921-153,173-433,447-1,072,211-2,910,287-20,372,009

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