Q: What are the factor combinations of the number 67,032,007?

 A:
Positive:   1 x 670320077 x 957600141 x 1634927287 x 233561311 x 215537751 x 892572177 x 307915257 x 12751
Negative: -1 x -67032007-7 x -9576001-41 x -1634927-287 x -233561-311 x -215537-751 x -89257-2177 x -30791-5257 x -12751


How do I find the factor combinations of the number 67,032,007?

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 67,032,007, 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 67,032,007
-1 -67,032,007

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 67,032,007.

Example:
1 x 67,032,007 = 67,032,007
and
-1 x -67,032,007 = 67,032,007
Notice both answers equal 67,032,007

With that explanation out of the way, let's continue. Next, we take the number 67,032,007 and divide it by 2:

67,032,007 ÷ 2 = 33,516,003.5

If the quotient is a whole number, then 2 and 33,516,003.5 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 67,032,007
-1 -67,032,007

Now, we try dividing 67,032,007 by 3:

67,032,007 ÷ 3 = 22,344,002.3333

If the quotient is a whole number, then 3 and 22,344,002.3333 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 67,032,007
-1 -67,032,007

Let's try dividing by 4:

67,032,007 ÷ 4 = 16,758,001.75

If the quotient is a whole number, then 4 and 16,758,001.75 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 67,032,007
-1 67,032,007
Keep dividing by the next highest number until you cannot divide anymore.

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

17412873117512,1775,25712,75130,79189,257215,537233,5611,634,9279,576,00167,032,007
-1-7-41-287-311-751-2,177-5,257-12,751-30,791-89,257-215,537-233,561-1,634,927-9,576,001-67,032,007

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