Q: What are the factor combinations of the number 68,350,009?

 A:
Positive:   1 x 683500097 x 976428713 x 525769331 x 220483991 x 751099217 x 314977403 x 1696032821 x 24229
Negative: -1 x -68350009-7 x -9764287-13 x -5257693-31 x -2204839-91 x -751099-217 x -314977-403 x -169603-2821 x -24229


How do I find the factor combinations of the number 68,350,009?

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 68,350,009, 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 68,350,009
-1 -68,350,009

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 68,350,009.

Example:
1 x 68,350,009 = 68,350,009
and
-1 x -68,350,009 = 68,350,009
Notice both answers equal 68,350,009

With that explanation out of the way, let's continue. Next, we take the number 68,350,009 and divide it by 2:

68,350,009 ÷ 2 = 34,175,004.5

If the quotient is a whole number, then 2 and 34,175,004.5 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 68,350,009
-1 -68,350,009

Now, we try dividing 68,350,009 by 3:

68,350,009 ÷ 3 = 22,783,336.3333

If the quotient is a whole number, then 3 and 22,783,336.3333 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 68,350,009
-1 -68,350,009

Let's try dividing by 4:

68,350,009 ÷ 4 = 17,087,502.25

If the quotient is a whole number, then 4 and 17,087,502.25 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 68,350,009
-1 68,350,009
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,82124,229169,603314,977751,0992,204,8395,257,6939,764,28768,350,009
-1-7-13-31-91-217-403-2,821-24,229-169,603-314,977-751,099-2,204,839-5,257,693-9,764,287-68,350,009

More Examples

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