Q: What are the factor combinations of the number 121,012,463?

 A:
Positive:   1 x 12101246311 x 1100113313 x 930865119 x 6369077121 x 1000103143 x 846241209 x 579007247 x 4899291573 x 769312299 x 526372717 x 445394049 x 29887
Negative: -1 x -121012463-11 x -11001133-13 x -9308651-19 x -6369077-121 x -1000103-143 x -846241-209 x -579007-247 x -489929-1573 x -76931-2299 x -52637-2717 x -44539-4049 x -29887


How do I find the factor combinations of the number 121,012,463?

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 121,012,463, 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.

1 121,012,463
-1 -121,012,463

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 121,012,463.

Example:
1 x 121,012,463 = 121,012,463
and
-1 x -121,012,463 = 121,012,463
Notice both answers equal 121,012,463

With that explanation out of the way, let's continue. Next, we take the number 121,012,463 and divide it by 2:

121,012,463 ÷ 2 = 60,506,231.5

If the quotient is a whole number, then 2 and 60,506,231.5 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:

1 121,012,463
-1 -121,012,463

Now, we try dividing 121,012,463 by 3:

121,012,463 ÷ 3 = 40,337,487.6667

If the quotient is a whole number, then 3 and 40,337,487.6667 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:

1 121,012,463
-1 -121,012,463

Let's try dividing by 4:

121,012,463 ÷ 4 = 30,253,115.75

If the quotient is a whole number, then 4 and 30,253,115.75 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:

1 121,012,463
-1 121,012,463
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191211432092471,5732,2992,7174,04929,88744,53952,63776,931489,929579,007846,2411,000,1036,369,0779,308,65111,001,133121,012,463
-1-11-13-19-121-143-209-247-1,573-2,299-2,717-4,049-29,887-44,539-52,637-76,931-489,929-579,007-846,241-1,000,103-6,369,077-9,308,651-11,001,133-121,012,463

More Examples

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