Q: What are the factor combinations of the number 100,001,135?

 A:
Positive:   1 x 1000011355 x 2000022713 x 769239529 x 344831565 x 1538479145 x 689663377 x 2652551885 x 53051
Negative: -1 x -100001135-5 x -20000227-13 x -7692395-29 x -3448315-65 x -1538479-145 x -689663-377 x -265255-1885 x -53051


How do I find the factor combinations of the number 100,001,135?

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 100,001,135, 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.

1 100,001,135
-1 -100,001,135

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 100,001,135.

Example:
1 x 100,001,135 = 100,001,135
and
-1 x -100,001,135 = 100,001,135
Notice both answers equal 100,001,135

With that explanation out of the way, let's continue. Next, we take the number 100,001,135 and divide it by 2:

100,001,135 ÷ 2 = 50,000,567.5

If the quotient is a whole number, then 2 and 50,000,567.5 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:

1 100,001,135
-1 -100,001,135

Now, we try dividing 100,001,135 by 3:

100,001,135 ÷ 3 = 33,333,711.6667

If the quotient is a whole number, then 3 and 33,333,711.6667 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:

1 100,001,135
-1 -100,001,135

Let's try dividing by 4:

100,001,135 ÷ 4 = 25,000,283.75

If the quotient is a whole number, then 4 and 25,000,283.75 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:

1 100,001,135
-1 100,001,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,88553,051265,255689,6631,538,4793,448,3157,692,39520,000,227100,001,135
-1-5-13-29-65-145-377-1,885-53,051-265,255-689,663-1,538,479-3,448,315-7,692,395-20,000,227-100,001,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 100,001,135:


Ask a Question