Q: What are the factor combinations of the number 77,717,675?

 A:
Positive:   1 x 777176755 x 155435357 x 1110252525 x 310870735 x 222050549 x 1586075175 x 444101245 x 3172151225 x 63443
Negative: -1 x -77717675-5 x -15543535-7 x -11102525-25 x -3108707-35 x -2220505-49 x -1586075-175 x -444101-245 x -317215-1225 x -63443


How do I find the factor combinations of the number 77,717,675?

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 77,717,675, 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 77,717,675
-1 -77,717,675

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 77,717,675.

Example:
1 x 77,717,675 = 77,717,675
and
-1 x -77,717,675 = 77,717,675
Notice both answers equal 77,717,675

With that explanation out of the way, let's continue. Next, we take the number 77,717,675 and divide it by 2:

77,717,675 ÷ 2 = 38,858,837.5

If the quotient is a whole number, then 2 and 38,858,837.5 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 77,717,675
-1 -77,717,675

Now, we try dividing 77,717,675 by 3:

77,717,675 ÷ 3 = 25,905,891.6667

If the quotient is a whole number, then 3 and 25,905,891.6667 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 77,717,675
-1 -77,717,675

Let's try dividing by 4:

77,717,675 ÷ 4 = 19,429,418.75

If the quotient is a whole number, then 4 and 19,429,418.75 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 77,717,675
-1 77,717,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22563,443317,215444,1011,586,0752,220,5053,108,70711,102,52515,543,53577,717,675
-1-5-7-25-35-49-175-245-1,225-63,443-317,215-444,101-1,586,075-2,220,505-3,108,707-11,102,525-15,543,535-77,717,675

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