Q: What are the factor combinations of the number 77,021,455?

 A:
Positive:   1 x 770214555 x 154042917 x 1100306535 x 220061353 x 1453235265 x 290647371 x 2076051855 x 41521
Negative: -1 x -77021455-5 x -15404291-7 x -11003065-35 x -2200613-53 x -1453235-265 x -290647-371 x -207605-1855 x -41521


How do I find the factor combinations of the number 77,021,455?

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 77,021,455, 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 77,021,455
-1 -77,021,455

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 77,021,455.

Example:
1 x 77,021,455 = 77,021,455
and
-1 x -77,021,455 = 77,021,455
Notice both answers equal 77,021,455

With that explanation out of the way, let's continue. Next, we take the number 77,021,455 and divide it by 2:

77,021,455 ÷ 2 = 38,510,727.5

If the quotient is a whole number, then 2 and 38,510,727.5 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 77,021,455
-1 -77,021,455

Now, we try dividing 77,021,455 by 3:

77,021,455 ÷ 3 = 25,673,818.3333

If the quotient is a whole number, then 3 and 25,673,818.3333 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 77,021,455
-1 -77,021,455

Let's try dividing by 4:

77,021,455 ÷ 4 = 19,255,363.75

If the quotient is a whole number, then 4 and 19,255,363.75 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 77,021,455
-1 77,021,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85541,521207,605290,6471,453,2352,200,61311,003,06515,404,29177,021,455
-1-5-7-35-53-265-371-1,855-41,521-207,605-290,647-1,453,235-2,200,613-11,003,065-15,404,291-77,021,455

More Examples

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