Q: What are the factor combinations of the number 123,736,015?

 A:
Positive:   1 x 1237360155 x 2474720313 x 951815565 x 1903631311 x 3978651555 x 795734043 x 306056121 x 20215
Negative: -1 x -123736015-5 x -24747203-13 x -9518155-65 x -1903631-311 x -397865-1555 x -79573-4043 x -30605-6121 x -20215


How do I find the factor combinations of the number 123,736,015?

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 123,736,015, 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.

1 123,736,015
-1 -123,736,015

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 123,736,015.

Example:
1 x 123,736,015 = 123,736,015
and
-1 x -123,736,015 = 123,736,015
Notice both answers equal 123,736,015

With that explanation out of the way, let's continue. Next, we take the number 123,736,015 and divide it by 2:

123,736,015 ÷ 2 = 61,868,007.5

If the quotient is a whole number, then 2 and 61,868,007.5 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:

1 123,736,015
-1 -123,736,015

Now, we try dividing 123,736,015 by 3:

123,736,015 ÷ 3 = 41,245,338.3333

If the quotient is a whole number, then 3 and 41,245,338.3333 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:

1 123,736,015
-1 -123,736,015

Let's try dividing by 4:

123,736,015 ÷ 4 = 30,934,003.75

If the quotient is a whole number, then 4 and 30,934,003.75 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:

1 123,736,015
-1 123,736,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653111,5554,0436,12120,21530,60579,573397,8651,903,6319,518,15524,747,203123,736,015
-1-5-13-65-311-1,555-4,043-6,121-20,215-30,605-79,573-397,865-1,903,631-9,518,155-24,747,203-123,736,015

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