Q: What are the factor combinations of the number 8,362,655?

 A:
Positive:   1 x 83626555 x 16725317 x 119466535 x 238933337 x 24815709 x 117951685 x 49632359 x 3545
Negative: -1 x -8362655-5 x -1672531-7 x -1194665-35 x -238933-337 x -24815-709 x -11795-1685 x -4963-2359 x -3545


How do I find the factor combinations of the number 8,362,655?

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 8,362,655, 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 8,362,655
-1 -8,362,655

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 8,362,655.

Example:
1 x 8,362,655 = 8,362,655
and
-1 x -8,362,655 = 8,362,655
Notice both answers equal 8,362,655

With that explanation out of the way, let's continue. Next, we take the number 8,362,655 and divide it by 2:

8,362,655 ÷ 2 = 4,181,327.5

If the quotient is a whole number, then 2 and 4,181,327.5 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 8,362,655
-1 -8,362,655

Now, we try dividing 8,362,655 by 3:

8,362,655 ÷ 3 = 2,787,551.6667

If the quotient is a whole number, then 3 and 2,787,551.6667 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 8,362,655
-1 -8,362,655

Let's try dividing by 4:

8,362,655 ÷ 4 = 2,090,663.75

If the quotient is a whole number, then 4 and 2,090,663.75 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 8,362,655
-1 8,362,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157353377091,6852,3593,5454,96311,79524,815238,9331,194,6651,672,5318,362,655
-1-5-7-35-337-709-1,685-2,359-3,545-4,963-11,795-24,815-238,933-1,194,665-1,672,531-8,362,655

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