Q: What are the factor combinations of the number 121,103,101?

 A:
Positive:   1 x 1211031017 x 1730044329 x 417596989 x 1360709203 x 596567623 x 1943872581 x 469216703 x 18067
Negative: -1 x -121103101-7 x -17300443-29 x -4175969-89 x -1360709-203 x -596567-623 x -194387-2581 x -46921-6703 x -18067


How do I find the factor combinations of the number 121,103,101?

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 121,103,101, 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.

1 121,103,101
-1 -121,103,101

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 121,103,101.

Example:
1 x 121,103,101 = 121,103,101
and
-1 x -121,103,101 = 121,103,101
Notice both answers equal 121,103,101

With that explanation out of the way, let's continue. Next, we take the number 121,103,101 and divide it by 2:

121,103,101 ÷ 2 = 60,551,550.5

If the quotient is a whole number, then 2 and 60,551,550.5 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:

1 121,103,101
-1 -121,103,101

Now, we try dividing 121,103,101 by 3:

121,103,101 ÷ 3 = 40,367,700.3333

If the quotient is a whole number, then 3 and 40,367,700.3333 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:

1 121,103,101
-1 -121,103,101

Let's try dividing by 4:

121,103,101 ÷ 4 = 30,275,775.25

If the quotient is a whole number, then 4 and 30,275,775.25 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:

1 121,103,101
-1 121,103,101
Keep dividing by the next highest number until you cannot divide anymore.

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

1729892036232,5816,70318,06746,921194,387596,5671,360,7094,175,96917,300,443121,103,101
-1-7-29-89-203-623-2,581-6,703-18,067-46,921-194,387-596,567-1,360,709-4,175,969-17,300,443-121,103,101

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 121,103,101:


Ask a Question