Q: What are the factor combinations of the number 85,018,865?

 A:
Positive:   1 x 850188655 x 1700377329 x 2931685145 x 586337167 x 509095835 x 1018193511 x 242154843 x 17555
Negative: -1 x -85018865-5 x -17003773-29 x -2931685-145 x -586337-167 x -509095-835 x -101819-3511 x -24215-4843 x -17555


How do I find the factor combinations of the number 85,018,865?

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 85,018,865, 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 85,018,865
-1 -85,018,865

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 85,018,865.

Example:
1 x 85,018,865 = 85,018,865
and
-1 x -85,018,865 = 85,018,865
Notice both answers equal 85,018,865

With that explanation out of the way, let's continue. Next, we take the number 85,018,865 and divide it by 2:

85,018,865 ÷ 2 = 42,509,432.5

If the quotient is a whole number, then 2 and 42,509,432.5 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 85,018,865
-1 -85,018,865

Now, we try dividing 85,018,865 by 3:

85,018,865 ÷ 3 = 28,339,621.6667

If the quotient is a whole number, then 3 and 28,339,621.6667 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 85,018,865
-1 -85,018,865

Let's try dividing by 4:

85,018,865 ÷ 4 = 21,254,716.25

If the quotient is a whole number, then 4 and 21,254,716.25 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 85,018,865
-1 85,018,865
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451678353,5114,84317,55524,215101,819509,095586,3372,931,68517,003,77385,018,865
-1-5-29-145-167-835-3,511-4,843-17,555-24,215-101,819-509,095-586,337-2,931,685-17,003,773-85,018,865

More Examples

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