Q: What are the factor combinations of the number 67,630,031?

 A:
Positive:   1 x 676300317 x 9661433109 x 620459151 x 447881587 x 115213763 x 886371057 x 639834109 x 16459
Negative: -1 x -67630031-7 x -9661433-109 x -620459-151 x -447881-587 x -115213-763 x -88637-1057 x -63983-4109 x -16459


How do I find the factor combinations of the number 67,630,031?

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 67,630,031, 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 67,630,031
-1 -67,630,031

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 67,630,031.

Example:
1 x 67,630,031 = 67,630,031
and
-1 x -67,630,031 = 67,630,031
Notice both answers equal 67,630,031

With that explanation out of the way, let's continue. Next, we take the number 67,630,031 and divide it by 2:

67,630,031 ÷ 2 = 33,815,015.5

If the quotient is a whole number, then 2 and 33,815,015.5 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 67,630,031
-1 -67,630,031

Now, we try dividing 67,630,031 by 3:

67,630,031 ÷ 3 = 22,543,343.6667

If the quotient is a whole number, then 3 and 22,543,343.6667 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 67,630,031
-1 -67,630,031

Let's try dividing by 4:

67,630,031 ÷ 4 = 16,907,507.75

If the quotient is a whole number, then 4 and 16,907,507.75 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 67,630,031
-1 67,630,031
Keep dividing by the next highest number until you cannot divide anymore.

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

171091515877631,0574,10916,45963,98388,637115,213447,881620,4599,661,43367,630,031
-1-7-109-151-587-763-1,057-4,109-16,459-63,983-88,637-115,213-447,881-620,459-9,661,433-67,630,031

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