Q: What are the factor combinations of the number 83,051,717?

 A:
Positive:   1 x 830517177 x 1186453119 x 437114337 x 224464149 x 1694933133 x 624449259 x 320663703 x 118139931 x 892071813 x 458092411 x 344474921 x 16877
Negative: -1 x -83051717-7 x -11864531-19 x -4371143-37 x -2244641-49 x -1694933-133 x -624449-259 x -320663-703 x -118139-931 x -89207-1813 x -45809-2411 x -34447-4921 x -16877


How do I find the factor combinations of the number 83,051,717?

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 83,051,717, 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 83,051,717
-1 -83,051,717

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 83,051,717.

Example:
1 x 83,051,717 = 83,051,717
and
-1 x -83,051,717 = 83,051,717
Notice both answers equal 83,051,717

With that explanation out of the way, let's continue. Next, we take the number 83,051,717 and divide it by 2:

83,051,717 ÷ 2 = 41,525,858.5

If the quotient is a whole number, then 2 and 41,525,858.5 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 83,051,717
-1 -83,051,717

Now, we try dividing 83,051,717 by 3:

83,051,717 ÷ 3 = 27,683,905.6667

If the quotient is a whole number, then 3 and 27,683,905.6667 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 83,051,717
-1 -83,051,717

Let's try dividing by 4:

83,051,717 ÷ 4 = 20,762,929.25

If the quotient is a whole number, then 4 and 20,762,929.25 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 83,051,717
-1 83,051,717
Keep dividing by the next highest number until you cannot divide anymore.

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

171937491332597039311,8132,4114,92116,87734,44745,80989,207118,139320,663624,4491,694,9332,244,6414,371,14311,864,53183,051,717
-1-7-19-37-49-133-259-703-931-1,813-2,411-4,921-16,877-34,447-45,809-89,207-118,139-320,663-624,449-1,694,933-2,244,641-4,371,143-11,864,531-83,051,717

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