Q: What are the factor combinations of the number 40,887,601?

 A:
Positive:   1 x 4088760117 x 240515319 x 2151979103 x 396967323 x 1265871229 x 332691751 x 233511957 x 20893
Negative: -1 x -40887601-17 x -2405153-19 x -2151979-103 x -396967-323 x -126587-1229 x -33269-1751 x -23351-1957 x -20893


How do I find the factor combinations of the number 40,887,601?

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 40,887,601, 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 40,887,601
-1 -40,887,601

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 40,887,601.

Example:
1 x 40,887,601 = 40,887,601
and
-1 x -40,887,601 = 40,887,601
Notice both answers equal 40,887,601

With that explanation out of the way, let's continue. Next, we take the number 40,887,601 and divide it by 2:

40,887,601 ÷ 2 = 20,443,800.5

If the quotient is a whole number, then 2 and 20,443,800.5 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 40,887,601
-1 -40,887,601

Now, we try dividing 40,887,601 by 3:

40,887,601 ÷ 3 = 13,629,200.3333

If the quotient is a whole number, then 3 and 13,629,200.3333 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 40,887,601
-1 -40,887,601

Let's try dividing by 4:

40,887,601 ÷ 4 = 10,221,900.25

If the quotient is a whole number, then 4 and 10,221,900.25 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 40,887,601
-1 40,887,601
Keep dividing by the next highest number until you cannot divide anymore.

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

117191033231,2291,7511,95720,89323,35133,269126,587396,9672,151,9792,405,15340,887,601
-1-17-19-103-323-1,229-1,751-1,957-20,893-23,351-33,269-126,587-396,967-2,151,979-2,405,153-40,887,601

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