Q: What are the factor combinations of the number 77,171,677?

 A:
Positive:   1 x 7717167711 x 701560737 x 2085721127 x 607651407 x 1896111397 x 552411493 x 516894699 x 16423
Negative: -1 x -77171677-11 x -7015607-37 x -2085721-127 x -607651-407 x -189611-1397 x -55241-1493 x -51689-4699 x -16423


How do I find the factor combinations of the number 77,171,677?

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 77,171,677, 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 77,171,677
-1 -77,171,677

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 77,171,677.

Example:
1 x 77,171,677 = 77,171,677
and
-1 x -77,171,677 = 77,171,677
Notice both answers equal 77,171,677

With that explanation out of the way, let's continue. Next, we take the number 77,171,677 and divide it by 2:

77,171,677 ÷ 2 = 38,585,838.5

If the quotient is a whole number, then 2 and 38,585,838.5 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 77,171,677
-1 -77,171,677

Now, we try dividing 77,171,677 by 3:

77,171,677 ÷ 3 = 25,723,892.3333

If the quotient is a whole number, then 3 and 25,723,892.3333 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 77,171,677
-1 -77,171,677

Let's try dividing by 4:

77,171,677 ÷ 4 = 19,292,919.25

If the quotient is a whole number, then 4 and 19,292,919.25 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 77,171,677
-1 77,171,677
Keep dividing by the next highest number until you cannot divide anymore.

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

111371274071,3971,4934,69916,42351,68955,241189,611607,6512,085,7217,015,60777,171,677
-1-11-37-127-407-1,397-1,493-4,699-16,423-51,689-55,241-189,611-607,651-2,085,721-7,015,607-77,171,677

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