Q: What are the factor combinations of the number 121,046,375?

 A:
Positive:   1 x 1210463755 x 2420927517 x 712037525 x 484185585 x 1424075125 x 968371425 x 2848152125 x 56963
Negative: -1 x -121046375-5 x -24209275-17 x -7120375-25 x -4841855-85 x -1424075-125 x -968371-425 x -284815-2125 x -56963


How do I find the factor combinations of the number 121,046,375?

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 121,046,375, 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.

1 121,046,375
-1 -121,046,375

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 121,046,375.

Example:
1 x 121,046,375 = 121,046,375
and
-1 x -121,046,375 = 121,046,375
Notice both answers equal 121,046,375

With that explanation out of the way, let's continue. Next, we take the number 121,046,375 and divide it by 2:

121,046,375 ÷ 2 = 60,523,187.5

If the quotient is a whole number, then 2 and 60,523,187.5 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:

1 121,046,375
-1 -121,046,375

Now, we try dividing 121,046,375 by 3:

121,046,375 ÷ 3 = 40,348,791.6667

If the quotient is a whole number, then 3 and 40,348,791.6667 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:

1 121,046,375
-1 -121,046,375

Let's try dividing by 4:

121,046,375 ÷ 4 = 30,261,593.75

If the quotient is a whole number, then 4 and 30,261,593.75 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:

1 121,046,375
-1 121,046,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12556,963284,815968,3711,424,0754,841,8557,120,37524,209,275121,046,375
-1-5-17-25-85-125-425-2,125-56,963-284,815-968,371-1,424,075-4,841,855-7,120,375-24,209,275-121,046,375

More Examples

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