Q: What are the factor combinations of the number 85,533,385?

 A:
Positive:   1 x 855333855 x 171066777 x 1221905535 x 2443811467 x 1831552335 x 366313269 x 261655233 x 16345
Negative: -1 x -85533385-5 x -17106677-7 x -12219055-35 x -2443811-467 x -183155-2335 x -36631-3269 x -26165-5233 x -16345


How do I find the factor combinations of the number 85,533,385?

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 85,533,385, 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 85,533,385
-1 -85,533,385

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 85,533,385.

Example:
1 x 85,533,385 = 85,533,385
and
-1 x -85,533,385 = 85,533,385
Notice both answers equal 85,533,385

With that explanation out of the way, let's continue. Next, we take the number 85,533,385 and divide it by 2:

85,533,385 ÷ 2 = 42,766,692.5

If the quotient is a whole number, then 2 and 42,766,692.5 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 85,533,385
-1 -85,533,385

Now, we try dividing 85,533,385 by 3:

85,533,385 ÷ 3 = 28,511,128.3333

If the quotient is a whole number, then 3 and 28,511,128.3333 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 85,533,385
-1 -85,533,385

Let's try dividing by 4:

85,533,385 ÷ 4 = 21,383,346.25

If the quotient is a whole number, then 4 and 21,383,346.25 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 85,533,385
-1 85,533,385
Keep dividing by the next highest number until you cannot divide anymore.

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

157354672,3353,2695,23316,34526,16536,631183,1552,443,81112,219,05517,106,67785,533,385
-1-5-7-35-467-2,335-3,269-5,233-16,345-26,165-36,631-183,155-2,443,811-12,219,055-17,106,677-85,533,385

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