Q: What are the factor combinations of the number 7,701,715?

 A:
Positive:   1 x 77017155 x 15403437 x 110024535 x 220049197 x 39095985 x 78191117 x 68951379 x 5585
Negative: -1 x -7701715-5 x -1540343-7 x -1100245-35 x -220049-197 x -39095-985 x -7819-1117 x -6895-1379 x -5585


How do I find the factor combinations of the number 7,701,715?

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 7,701,715, 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 7,701,715
-1 -7,701,715

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 7,701,715.

Example:
1 x 7,701,715 = 7,701,715
and
-1 x -7,701,715 = 7,701,715
Notice both answers equal 7,701,715

With that explanation out of the way, let's continue. Next, we take the number 7,701,715 and divide it by 2:

7,701,715 ÷ 2 = 3,850,857.5

If the quotient is a whole number, then 2 and 3,850,857.5 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 7,701,715
-1 -7,701,715

Now, we try dividing 7,701,715 by 3:

7,701,715 ÷ 3 = 2,567,238.3333

If the quotient is a whole number, then 3 and 2,567,238.3333 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 7,701,715
-1 -7,701,715

Let's try dividing by 4:

7,701,715 ÷ 4 = 1,925,428.75

If the quotient is a whole number, then 4 and 1,925,428.75 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 7,701,715
-1 7,701,715
Keep dividing by the next highest number until you cannot divide anymore.

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

157351979851,1171,3795,5856,8957,81939,095220,0491,100,2451,540,3437,701,715
-1-5-7-35-197-985-1,117-1,379-5,585-6,895-7,819-39,095-220,049-1,100,245-1,540,343-7,701,715

More Examples

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