Q: What are the factor combinations of the number 100,313,039?

 A:
Positive:   1 x 10031303917 x 590076759 x 1700221103 x 973913971 x 1033091003 x 1000131751 x 572896077 x 16507
Negative: -1 x -100313039-17 x -5900767-59 x -1700221-103 x -973913-971 x -103309-1003 x -100013-1751 x -57289-6077 x -16507


How do I find the factor combinations of the number 100,313,039?

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 100,313,039, 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.

1 100,313,039
-1 -100,313,039

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 100,313,039.

Example:
1 x 100,313,039 = 100,313,039
and
-1 x -100,313,039 = 100,313,039
Notice both answers equal 100,313,039

With that explanation out of the way, let's continue. Next, we take the number 100,313,039 and divide it by 2:

100,313,039 ÷ 2 = 50,156,519.5

If the quotient is a whole number, then 2 and 50,156,519.5 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:

1 100,313,039
-1 -100,313,039

Now, we try dividing 100,313,039 by 3:

100,313,039 ÷ 3 = 33,437,679.6667

If the quotient is a whole number, then 3 and 33,437,679.6667 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:

1 100,313,039
-1 -100,313,039

Let's try dividing by 4:

100,313,039 ÷ 4 = 25,078,259.75

If the quotient is a whole number, then 4 and 25,078,259.75 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:

1 100,313,039
-1 100,313,039
Keep dividing by the next highest number until you cannot divide anymore.

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

117591039711,0031,7516,07716,50757,289100,013103,309973,9131,700,2215,900,767100,313,039
-1-17-59-103-971-1,003-1,751-6,077-16,507-57,289-100,013-103,309-973,913-1,700,221-5,900,767-100,313,039

More Examples

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