Q: What are the factor combinations of the number 100,164,355?

 A:
Positive:   1 x 1001643555 x 200328712351 x 426058521 x 11755
Negative: -1 x -100164355-5 x -20032871-2351 x -42605-8521 x -11755


How do I find the factor combinations of the number 100,164,355?

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 100,164,355, 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.

1 100,164,355
-1 -100,164,355

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 100,164,355.

Example:
1 x 100,164,355 = 100,164,355
and
-1 x -100,164,355 = 100,164,355
Notice both answers equal 100,164,355

With that explanation out of the way, let's continue. Next, we take the number 100,164,355 and divide it by 2:

100,164,355 ÷ 2 = 50,082,177.5

If the quotient is a whole number, then 2 and 50,082,177.5 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:

1 100,164,355
-1 -100,164,355

Now, we try dividing 100,164,355 by 3:

100,164,355 ÷ 3 = 33,388,118.3333

If the quotient is a whole number, then 3 and 33,388,118.3333 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:

1 100,164,355
-1 -100,164,355

Let's try dividing by 4:

100,164,355 ÷ 4 = 25,041,088.75

If the quotient is a whole number, then 4 and 25,041,088.75 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:

1 100,164,355
-1 100,164,355
Keep dividing by the next highest number until you cannot divide anymore.

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

152,3518,52111,75542,60520,032,871100,164,355
-1-5-2,351-8,521-11,755-42,605-20,032,871-100,164,355

More Examples

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