Q: What are the factor combinations of the number 83,415,655?

 A:
Positive:   1 x 834156555 x 16683131397 x 2101151985 x 42023
Negative: -1 x -83415655-5 x -16683131-397 x -210115-1985 x -42023


How do I find the factor combinations of the number 83,415,655?

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 83,415,655, 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 83,415,655
-1 -83,415,655

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 83,415,655.

Example:
1 x 83,415,655 = 83,415,655
and
-1 x -83,415,655 = 83,415,655
Notice both answers equal 83,415,655

With that explanation out of the way, let's continue. Next, we take the number 83,415,655 and divide it by 2:

83,415,655 ÷ 2 = 41,707,827.5

If the quotient is a whole number, then 2 and 41,707,827.5 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 83,415,655
-1 -83,415,655

Now, we try dividing 83,415,655 by 3:

83,415,655 ÷ 3 = 27,805,218.3333

If the quotient is a whole number, then 3 and 27,805,218.3333 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 83,415,655
-1 -83,415,655

Let's try dividing by 4:

83,415,655 ÷ 4 = 20,853,913.75

If the quotient is a whole number, then 4 and 20,853,913.75 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 83,415,655
-1 83,415,655
Keep dividing by the next highest number until you cannot divide anymore.

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

153971,98542,023210,11516,683,13183,415,655
-1-5-397-1,985-42,023-210,115-16,683,131-83,415,655

More Examples

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