Q: What are the factor combinations of the number 20,622,667?

 A:
Positive:   1 x 2062266713 x 158635967 x 307801871 x 23677
Negative: -1 x -20622667-13 x -1586359-67 x -307801-871 x -23677


How do I find the factor combinations of the number 20,622,667?

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 20,622,667, 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 20,622,667
-1 -20,622,667

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 20,622,667.

Example:
1 x 20,622,667 = 20,622,667
and
-1 x -20,622,667 = 20,622,667
Notice both answers equal 20,622,667

With that explanation out of the way, let's continue. Next, we take the number 20,622,667 and divide it by 2:

20,622,667 ÷ 2 = 10,311,333.5

If the quotient is a whole number, then 2 and 10,311,333.5 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 20,622,667
-1 -20,622,667

Now, we try dividing 20,622,667 by 3:

20,622,667 ÷ 3 = 6,874,222.3333

If the quotient is a whole number, then 3 and 6,874,222.3333 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 20,622,667
-1 -20,622,667

Let's try dividing by 4:

20,622,667 ÷ 4 = 5,155,666.75

If the quotient is a whole number, then 4 and 5,155,666.75 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 20,622,667
-1 20,622,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1136787123,677307,8011,586,35920,622,667
-1-13-67-871-23,677-307,801-1,586,359-20,622,667

More Examples

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