Q: What are the factor combinations of the number 387,120,107?

 A:
Positive:   1 x 38712010711 x 3519273717 x 2277177123 x 16831309187 x 2070161253 x 1530119391 x 9900774301 x 90007
Negative: -1 x -387120107-11 x -35192737-17 x -22771771-23 x -16831309-187 x -2070161-253 x -1530119-391 x -990077-4301 x -90007


How do I find the factor combinations of the number 387,120,107?

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 387,120,107, 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.

1 387,120,107
-1 -387,120,107

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 387,120,107.

Example:
1 x 387,120,107 = 387,120,107
and
-1 x -387,120,107 = 387,120,107
Notice both answers equal 387,120,107

With that explanation out of the way, let's continue. Next, we take the number 387,120,107 and divide it by 2:

387,120,107 ÷ 2 = 193,560,053.5

If the quotient is a whole number, then 2 and 193,560,053.5 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:

1 387,120,107
-1 -387,120,107

Now, we try dividing 387,120,107 by 3:

387,120,107 ÷ 3 = 129,040,035.6667

If the quotient is a whole number, then 3 and 129,040,035.6667 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:

1 387,120,107
-1 -387,120,107

Let's try dividing by 4:

387,120,107 ÷ 4 = 96,780,026.75

If the quotient is a whole number, then 4 and 96,780,026.75 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:

1 387,120,107
-1 387,120,107
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533914,30190,007990,0771,530,1192,070,16116,831,30922,771,77135,192,737387,120,107
-1-11-17-23-187-253-391-4,301-90,007-990,077-1,530,119-2,070,161-16,831,309-22,771,771-35,192,737-387,120,107

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