Q: What are the factor combinations of the number 121,257,107?

 A:
Positive:   1 x 12125710717 x 713277119 x 638195383 x 1460929323 x 3754091411 x 859371577 x 768914523 x 26809
Negative: -1 x -121257107-17 x -7132771-19 x -6381953-83 x -1460929-323 x -375409-1411 x -85937-1577 x -76891-4523 x -26809


How do I find the factor combinations of the number 121,257,107?

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 121,257,107, 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.

1 121,257,107
-1 -121,257,107

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 121,257,107.

Example:
1 x 121,257,107 = 121,257,107
and
-1 x -121,257,107 = 121,257,107
Notice both answers equal 121,257,107

With that explanation out of the way, let's continue. Next, we take the number 121,257,107 and divide it by 2:

121,257,107 ÷ 2 = 60,628,553.5

If the quotient is a whole number, then 2 and 60,628,553.5 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:

1 121,257,107
-1 -121,257,107

Now, we try dividing 121,257,107 by 3:

121,257,107 ÷ 3 = 40,419,035.6667

If the quotient is a whole number, then 3 and 40,419,035.6667 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:

1 121,257,107
-1 -121,257,107

Let's try dividing by 4:

121,257,107 ÷ 4 = 30,314,276.75

If the quotient is a whole number, then 4 and 30,314,276.75 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:

1 121,257,107
-1 121,257,107
Keep dividing by the next highest number until you cannot divide anymore.

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

11719833231,4111,5774,52326,80976,89185,937375,4091,460,9296,381,9537,132,771121,257,107
-1-17-19-83-323-1,411-1,577-4,523-26,809-76,891-85,937-375,409-1,460,929-6,381,953-7,132,771-121,257,107

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