Q: What are the factor combinations of the number 120,717,575?

 A:
Positive:   1 x 1207175755 x 2414351511 x 1097432525 x 482870329 x 416267555 x 2194865145 x 832535275 x 438973319 x 378425725 x 1665071595 x 756857975 x 15137
Negative: -1 x -120717575-5 x -24143515-11 x -10974325-25 x -4828703-29 x -4162675-55 x -2194865-145 x -832535-275 x -438973-319 x -378425-725 x -166507-1595 x -75685-7975 x -15137


How do I find the factor combinations of the number 120,717,575?

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 120,717,575, 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.

1 120,717,575
-1 -120,717,575

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 120,717,575.

Example:
1 x 120,717,575 = 120,717,575
and
-1 x -120,717,575 = 120,717,575
Notice both answers equal 120,717,575

With that explanation out of the way, let's continue. Next, we take the number 120,717,575 and divide it by 2:

120,717,575 ÷ 2 = 60,358,787.5

If the quotient is a whole number, then 2 and 60,358,787.5 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:

1 120,717,575
-1 -120,717,575

Now, we try dividing 120,717,575 by 3:

120,717,575 ÷ 3 = 40,239,191.6667

If the quotient is a whole number, then 3 and 40,239,191.6667 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:

1 120,717,575
-1 -120,717,575

Let's try dividing by 4:

120,717,575 ÷ 4 = 30,179,393.75

If the quotient is a whole number, then 4 and 30,179,393.75 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:

1 120,717,575
-1 120,717,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551452753197251,5957,97515,13775,685166,507378,425438,973832,5352,194,8654,162,6754,828,70310,974,32524,143,515120,717,575
-1-5-11-25-29-55-145-275-319-725-1,595-7,975-15,137-75,685-166,507-378,425-438,973-832,535-2,194,865-4,162,675-4,828,703-10,974,325-24,143,515-120,717,575

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