Q: What are the factor combinations of the number 77,212,003?

 A:
Positive:   1 x 7721200311 x 701927371 x 1087493109 x 708367781 x 98863907 x 851291199 x 643977739 x 9977
Negative: -1 x -77212003-11 x -7019273-71 x -1087493-109 x -708367-781 x -98863-907 x -85129-1199 x -64397-7739 x -9977


How do I find the factor combinations of the number 77,212,003?

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 77,212,003, 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 77,212,003
-1 -77,212,003

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 77,212,003.

Example:
1 x 77,212,003 = 77,212,003
and
-1 x -77,212,003 = 77,212,003
Notice both answers equal 77,212,003

With that explanation out of the way, let's continue. Next, we take the number 77,212,003 and divide it by 2:

77,212,003 ÷ 2 = 38,606,001.5

If the quotient is a whole number, then 2 and 38,606,001.5 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 77,212,003
-1 -77,212,003

Now, we try dividing 77,212,003 by 3:

77,212,003 ÷ 3 = 25,737,334.3333

If the quotient is a whole number, then 3 and 25,737,334.3333 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 77,212,003
-1 -77,212,003

Let's try dividing by 4:

77,212,003 ÷ 4 = 19,303,000.75

If the quotient is a whole number, then 4 and 19,303,000.75 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 77,212,003
-1 77,212,003
Keep dividing by the next highest number until you cannot divide anymore.

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

111711097819071,1997,7399,97764,39785,12998,863708,3671,087,4937,019,27377,212,003
-1-11-71-109-781-907-1,199-7,739-9,977-64,397-85,129-98,863-708,367-1,087,493-7,019,273-77,212,003

More Examples

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