Q: What are the factor combinations of the number 77,717,815?

 A:
Positive:   1 x 777178155 x 155435637 x 1110254535 x 2220509263 x 2955051315 x 591011841 x 422158443 x 9205
Negative: -1 x -77717815-5 x -15543563-7 x -11102545-35 x -2220509-263 x -295505-1315 x -59101-1841 x -42215-8443 x -9205


How do I find the factor combinations of the number 77,717,815?

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 77,717,815, 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 77,717,815
-1 -77,717,815

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 77,717,815.

Example:
1 x 77,717,815 = 77,717,815
and
-1 x -77,717,815 = 77,717,815
Notice both answers equal 77,717,815

With that explanation out of the way, let's continue. Next, we take the number 77,717,815 and divide it by 2:

77,717,815 ÷ 2 = 38,858,907.5

If the quotient is a whole number, then 2 and 38,858,907.5 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 77,717,815
-1 -77,717,815

Now, we try dividing 77,717,815 by 3:

77,717,815 ÷ 3 = 25,905,938.3333

If the quotient is a whole number, then 3 and 25,905,938.3333 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 77,717,815
-1 -77,717,815

Let's try dividing by 4:

77,717,815 ÷ 4 = 19,429,453.75

If the quotient is a whole number, then 4 and 19,429,453.75 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 77,717,815
-1 77,717,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157352631,3151,8418,4439,20542,21559,101295,5052,220,50911,102,54515,543,56377,717,815
-1-5-7-35-263-1,315-1,841-8,443-9,205-42,215-59,101-295,505-2,220,509-11,102,545-15,543,563-77,717,815

More Examples

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