Q: What are the factor combinations of the number 135,445,015?

 A:
Positive:   1 x 1354450155 x 2708900319 x 712868595 x 1425737181 x 748315905 x 1496633439 x 393857877 x 17195
Negative: -1 x -135445015-5 x -27089003-19 x -7128685-95 x -1425737-181 x -748315-905 x -149663-3439 x -39385-7877 x -17195


How do I find the factor combinations of the number 135,445,015?

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 135,445,015, 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.

1 135,445,015
-1 -135,445,015

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 135,445,015.

Example:
1 x 135,445,015 = 135,445,015
and
-1 x -135,445,015 = 135,445,015
Notice both answers equal 135,445,015

With that explanation out of the way, let's continue. Next, we take the number 135,445,015 and divide it by 2:

135,445,015 ÷ 2 = 67,722,507.5

If the quotient is a whole number, then 2 and 67,722,507.5 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:

1 135,445,015
-1 -135,445,015

Now, we try dividing 135,445,015 by 3:

135,445,015 ÷ 3 = 45,148,338.3333

If the quotient is a whole number, then 3 and 45,148,338.3333 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:

1 135,445,015
-1 -135,445,015

Let's try dividing by 4:

135,445,015 ÷ 4 = 33,861,253.75

If the quotient is a whole number, then 4 and 33,861,253.75 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:

1 135,445,015
-1 135,445,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951819053,4397,87717,19539,385149,663748,3151,425,7377,128,68527,089,003135,445,015
-1-5-19-95-181-905-3,439-7,877-17,195-39,385-149,663-748,315-1,425,737-7,128,685-27,089,003-135,445,015

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