Q: What are the factor combinations of the number 77,277,733?

 A:
Positive:   1 x 7727773313 x 594444117 x 454574967 x 1153399221 x 349673289 x 267397307 x 251719871 x 887231139 x 678473757 x 205693991 x 193635219 x 14807
Negative: -1 x -77277733-13 x -5944441-17 x -4545749-67 x -1153399-221 x -349673-289 x -267397-307 x -251719-871 x -88723-1139 x -67847-3757 x -20569-3991 x -19363-5219 x -14807


How do I find the factor combinations of the number 77,277,733?

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 77,277,733, 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 77,277,733
-1 -77,277,733

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 77,277,733.

Example:
1 x 77,277,733 = 77,277,733
and
-1 x -77,277,733 = 77,277,733
Notice both answers equal 77,277,733

With that explanation out of the way, let's continue. Next, we take the number 77,277,733 and divide it by 2:

77,277,733 ÷ 2 = 38,638,866.5

If the quotient is a whole number, then 2 and 38,638,866.5 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 77,277,733
-1 -77,277,733

Now, we try dividing 77,277,733 by 3:

77,277,733 ÷ 3 = 25,759,244.3333

If the quotient is a whole number, then 3 and 25,759,244.3333 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 77,277,733
-1 -77,277,733

Let's try dividing by 4:

77,277,733 ÷ 4 = 19,319,433.25

If the quotient is a whole number, then 4 and 19,319,433.25 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 77,277,733
-1 77,277,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11317672212893078711,1393,7573,9915,21914,80719,36320,56967,84788,723251,719267,397349,6731,153,3994,545,7495,944,44177,277,733
-1-13-17-67-221-289-307-871-1,139-3,757-3,991-5,219-14,807-19,363-20,569-67,847-88,723-251,719-267,397-349,673-1,153,399-4,545,749-5,944,441-77,277,733

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