Q: What are the factor combinations of the number 77,897,417?

 A:
Positive:   1 x 7789741713 x 599210917 x 458220141 x 1899937221 x 352477533 x 146149697 x 1117618597 x 9061
Negative: -1 x -77897417-13 x -5992109-17 x -4582201-41 x -1899937-221 x -352477-533 x -146149-697 x -111761-8597 x -9061


How do I find the factor combinations of the number 77,897,417?

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 77,897,417, 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 77,897,417
-1 -77,897,417

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 77,897,417.

Example:
1 x 77,897,417 = 77,897,417
and
-1 x -77,897,417 = 77,897,417
Notice both answers equal 77,897,417

With that explanation out of the way, let's continue. Next, we take the number 77,897,417 and divide it by 2:

77,897,417 ÷ 2 = 38,948,708.5

If the quotient is a whole number, then 2 and 38,948,708.5 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 77,897,417
-1 -77,897,417

Now, we try dividing 77,897,417 by 3:

77,897,417 ÷ 3 = 25,965,805.6667

If the quotient is a whole number, then 3 and 25,965,805.6667 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 77,897,417
-1 -77,897,417

Let's try dividing by 4:

77,897,417 ÷ 4 = 19,474,354.25

If the quotient is a whole number, then 4 and 19,474,354.25 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 77,897,417
-1 77,897,417
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336978,5979,061111,761146,149352,4771,899,9374,582,2015,992,10977,897,417
-1-13-17-41-221-533-697-8,597-9,061-111,761-146,149-352,477-1,899,937-4,582,201-5,992,109-77,897,417

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