Q: What are the factor combinations of the number 121,563,617?

 A:
Positive:   1 x 1215636177 x 1736623117 x 715080131 x 3921407119 x 1021543217 x 560201527 x 230671961 x 1264971063 x 1143593689 x 329536727 x 180717441 x 16337
Negative: -1 x -121563617-7 x -17366231-17 x -7150801-31 x -3921407-119 x -1021543-217 x -560201-527 x -230671-961 x -126497-1063 x -114359-3689 x -32953-6727 x -18071-7441 x -16337


How do I find the factor combinations of the number 121,563,617?

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 121,563,617, 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.

1 121,563,617
-1 -121,563,617

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 121,563,617.

Example:
1 x 121,563,617 = 121,563,617
and
-1 x -121,563,617 = 121,563,617
Notice both answers equal 121,563,617

With that explanation out of the way, let's continue. Next, we take the number 121,563,617 and divide it by 2:

121,563,617 ÷ 2 = 60,781,808.5

If the quotient is a whole number, then 2 and 60,781,808.5 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:

1 121,563,617
-1 -121,563,617

Now, we try dividing 121,563,617 by 3:

121,563,617 ÷ 3 = 40,521,205.6667

If the quotient is a whole number, then 3 and 40,521,205.6667 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:

1 121,563,617
-1 -121,563,617

Let's try dividing by 4:

121,563,617 ÷ 4 = 30,390,904.25

If the quotient is a whole number, then 4 and 30,390,904.25 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:

1 121,563,617
-1 121,563,617
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175279611,0633,6896,7277,44116,33718,07132,953114,359126,497230,671560,2011,021,5433,921,4077,150,80117,366,231121,563,617
-1-7-17-31-119-217-527-961-1,063-3,689-6,727-7,441-16,337-18,071-32,953-114,359-126,497-230,671-560,201-1,021,543-3,921,407-7,150,801-17,366,231-121,563,617

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