Q: What are the factor combinations of the number 8,383,655?

 A:
Positive:   1 x 83836555 x 16767317 x 119766519 x 44124535 x 23953349 x 17109595 x 88249133 x 63035245 x 34219665 x 12607931 x 90051801 x 4655
Negative: -1 x -8383655-5 x -1676731-7 x -1197665-19 x -441245-35 x -239533-49 x -171095-95 x -88249-133 x -63035-245 x -34219-665 x -12607-931 x -9005-1801 x -4655


How do I find the factor combinations of the number 8,383,655?

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 8,383,655, 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 8,383,655
-1 -8,383,655

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 8,383,655.

Example:
1 x 8,383,655 = 8,383,655
and
-1 x -8,383,655 = 8,383,655
Notice both answers equal 8,383,655

With that explanation out of the way, let's continue. Next, we take the number 8,383,655 and divide it by 2:

8,383,655 ÷ 2 = 4,191,827.5

If the quotient is a whole number, then 2 and 4,191,827.5 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 8,383,655
-1 -8,383,655

Now, we try dividing 8,383,655 by 3:

8,383,655 ÷ 3 = 2,794,551.6667

If the quotient is a whole number, then 3 and 2,794,551.6667 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 8,383,655
-1 -8,383,655

Let's try dividing by 4:

8,383,655 ÷ 4 = 2,095,913.75

If the quotient is a whole number, then 4 and 2,095,913.75 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 8,383,655
-1 8,383,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157193549951332456659311,8014,6559,00512,60734,21963,03588,249171,095239,533441,2451,197,6651,676,7318,383,655
-1-5-7-19-35-49-95-133-245-665-931-1,801-4,655-9,005-12,607-34,219-63,035-88,249-171,095-239,533-441,245-1,197,665-1,676,731-8,383,655

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