Q: What are the factor combinations of the number 621,555,013?

 A:
Positive:   1 x 62155501323 x 27024131431 x 14421239913 x 62701
Negative: -1 x -621555013-23 x -27024131-431 x -1442123-9913 x -62701


How do I find the factor combinations of the number 621,555,013?

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 621,555,013, 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.

1 621,555,013
-1 -621,555,013

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 621,555,013.

Example:
1 x 621,555,013 = 621,555,013
and
-1 x -621,555,013 = 621,555,013
Notice both answers equal 621,555,013

With that explanation out of the way, let's continue. Next, we take the number 621,555,013 and divide it by 2:

621,555,013 ÷ 2 = 310,777,506.5

If the quotient is a whole number, then 2 and 310,777,506.5 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:

1 621,555,013
-1 -621,555,013

Now, we try dividing 621,555,013 by 3:

621,555,013 ÷ 3 = 207,185,004.3333

If the quotient is a whole number, then 3 and 207,185,004.3333 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:

1 621,555,013
-1 -621,555,013

Let's try dividing by 4:

621,555,013 ÷ 4 = 155,388,753.25

If the quotient is a whole number, then 4 and 155,388,753.25 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:

1 621,555,013
-1 621,555,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1234319,91362,7011,442,12327,024,131621,555,013
-1-23-431-9,913-62,701-1,442,123-27,024,131-621,555,013

More Examples

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