Q: What are the factor combinations of the number 100,555?

 A:
Positive:   1 x 1005555 x 201117 x 1436513 x 773517 x 591535 x 287365 x 154785 x 118391 x 1105119 x 845169 x 595221 x 455
Negative: -1 x -100555-5 x -20111-7 x -14365-13 x -7735-17 x -5915-35 x -2873-65 x -1547-85 x -1183-91 x -1105-119 x -845-169 x -595-221 x -455


How do I find the factor combinations of the number 100,555?

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 100,555, 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.

1 100,555
-1 -100,555

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 100,555.

Example:
1 x 100,555 = 100,555
and
-1 x -100,555 = 100,555
Notice both answers equal 100,555

With that explanation out of the way, let's continue. Next, we take the number 100,555 and divide it by 2:

100,555 ÷ 2 = 50,277.5

If the quotient is a whole number, then 2 and 50,277.5 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:

1 100,555
-1 -100,555

Now, we try dividing 100,555 by 3:

100,555 ÷ 3 = 33,518.3333

If the quotient is a whole number, then 3 and 33,518.3333 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:

1 100,555
-1 -100,555

Let's try dividing by 4:

100,555 ÷ 4 = 25,138.75

If the quotient is a whole number, then 4 and 25,138.75 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:

1 100,555
-1 100,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1571317356585911191692214555958451,1051,1831,5472,8735,9157,73514,36520,111100,555
-1-5-7-13-17-35-65-85-91-119-169-221-455-595-845-1,105-1,183-1,547-2,873-5,915-7,735-14,365-20,111-100,555

More Examples

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