Q: What are the factor combinations of the number 20,724,307?

 A:
Positive:   1 x 2072430719 x 109075379 x 2623331501 x 13807
Negative: -1 x -20724307-19 x -1090753-79 x -262333-1501 x -13807


How do I find the factor combinations of the number 20,724,307?

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 20,724,307, 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 20,724,307
-1 -20,724,307

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 20,724,307.

Example:
1 x 20,724,307 = 20,724,307
and
-1 x -20,724,307 = 20,724,307
Notice both answers equal 20,724,307

With that explanation out of the way, let's continue. Next, we take the number 20,724,307 and divide it by 2:

20,724,307 ÷ 2 = 10,362,153.5

If the quotient is a whole number, then 2 and 10,362,153.5 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 20,724,307
-1 -20,724,307

Now, we try dividing 20,724,307 by 3:

20,724,307 ÷ 3 = 6,908,102.3333

If the quotient is a whole number, then 3 and 6,908,102.3333 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 20,724,307
-1 -20,724,307

Let's try dividing by 4:

20,724,307 ÷ 4 = 5,181,076.75

If the quotient is a whole number, then 4 and 5,181,076.75 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 20,724,307
-1 20,724,307
Keep dividing by the next highest number until you cannot divide anymore.

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

119791,50113,807262,3331,090,75320,724,307
-1-19-79-1,501-13,807-262,333-1,090,753-20,724,307

More Examples

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