Q: What are the factor combinations of the number 83,820,545?

 A:
Positive:   1 x 838205455 x 1676410943 x 1949315197 x 425485215 x 389863985 x 850971979 x 423558471 x 9895
Negative: -1 x -83820545-5 x -16764109-43 x -1949315-197 x -425485-215 x -389863-985 x -85097-1979 x -42355-8471 x -9895


How do I find the factor combinations of the number 83,820,545?

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 83,820,545, 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 83,820,545
-1 -83,820,545

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 83,820,545.

Example:
1 x 83,820,545 = 83,820,545
and
-1 x -83,820,545 = 83,820,545
Notice both answers equal 83,820,545

With that explanation out of the way, let's continue. Next, we take the number 83,820,545 and divide it by 2:

83,820,545 ÷ 2 = 41,910,272.5

If the quotient is a whole number, then 2 and 41,910,272.5 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 83,820,545
-1 -83,820,545

Now, we try dividing 83,820,545 by 3:

83,820,545 ÷ 3 = 27,940,181.6667

If the quotient is a whole number, then 3 and 27,940,181.6667 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 83,820,545
-1 -83,820,545

Let's try dividing by 4:

83,820,545 ÷ 4 = 20,955,136.25

If the quotient is a whole number, then 4 and 20,955,136.25 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 83,820,545
-1 83,820,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15431972159851,9798,4719,89542,35585,097389,863425,4851,949,31516,764,10983,820,545
-1-5-43-197-215-985-1,979-8,471-9,895-42,355-85,097-389,863-425,485-1,949,315-16,764,109-83,820,545

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