Q: What are the factor combinations of the number 77,477,701?

 A:
Positive:   1 x 774777017 x 1106824343 x 1801807301 x 257401
Negative: -1 x -77477701-7 x -11068243-43 x -1801807-301 x -257401


How do I find the factor combinations of the number 77,477,701?

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 77,477,701, 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 77,477,701
-1 -77,477,701

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 77,477,701.

Example:
1 x 77,477,701 = 77,477,701
and
-1 x -77,477,701 = 77,477,701
Notice both answers equal 77,477,701

With that explanation out of the way, let's continue. Next, we take the number 77,477,701 and divide it by 2:

77,477,701 ÷ 2 = 38,738,850.5

If the quotient is a whole number, then 2 and 38,738,850.5 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 77,477,701
-1 -77,477,701

Now, we try dividing 77,477,701 by 3:

77,477,701 ÷ 3 = 25,825,900.3333

If the quotient is a whole number, then 3 and 25,825,900.3333 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 77,477,701
-1 -77,477,701

Let's try dividing by 4:

77,477,701 ÷ 4 = 19,369,425.25

If the quotient is a whole number, then 4 and 19,369,425.25 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 77,477,701
-1 77,477,701
Keep dividing by the next highest number until you cannot divide anymore.

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

1743301257,4011,801,80711,068,24377,477,701
-1-7-43-301-257,401-1,801,807-11,068,243-77,477,701

More Examples

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