Q: What are the factor combinations of the number 77,171,675?

 A:
Positive:   1 x 771716755 x 154343357 x 1102452525 x 308686735 x 220490571 x 1086925175 x 440981355 x 217385497 x 1552751775 x 434772485 x 310556211 x 12425
Negative: -1 x -77171675-5 x -15434335-7 x -11024525-25 x -3086867-35 x -2204905-71 x -1086925-175 x -440981-355 x -217385-497 x -155275-1775 x -43477-2485 x -31055-6211 x -12425


How do I find the factor combinations of the number 77,171,675?

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 77,171,675, 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 77,171,675
-1 -77,171,675

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 77,171,675.

Example:
1 x 77,171,675 = 77,171,675
and
-1 x -77,171,675 = 77,171,675
Notice both answers equal 77,171,675

With that explanation out of the way, let's continue. Next, we take the number 77,171,675 and divide it by 2:

77,171,675 ÷ 2 = 38,585,837.5

If the quotient is a whole number, then 2 and 38,585,837.5 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 77,171,675
-1 -77,171,675

Now, we try dividing 77,171,675 by 3:

77,171,675 ÷ 3 = 25,723,891.6667

If the quotient is a whole number, then 3 and 25,723,891.6667 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 77,171,675
-1 -77,171,675

Let's try dividing by 4:

77,171,675 ÷ 4 = 19,292,918.75

If the quotient is a whole number, then 4 and 19,292,918.75 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 77,171,675
-1 77,171,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535711753554971,7752,4856,21112,42531,05543,477155,275217,385440,9811,086,9252,204,9053,086,86711,024,52515,434,33577,171,675
-1-5-7-25-35-71-175-355-497-1,775-2,485-6,211-12,425-31,055-43,477-155,275-217,385-440,981-1,086,925-2,204,905-3,086,867-11,024,525-15,434,335-77,171,675

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