Q: What are the factor combinations of the number 120,052,415?

 A:
Positive:   1 x 1200524155 x 240104837 x 1715034535 x 3430069137 x 876295685 x 175259959 x 1251854795 x 25037
Negative: -1 x -120052415-5 x -24010483-7 x -17150345-35 x -3430069-137 x -876295-685 x -175259-959 x -125185-4795 x -25037


How do I find the factor combinations of the number 120,052,415?

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 120,052,415, 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.

1 120,052,415
-1 -120,052,415

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 120,052,415.

Example:
1 x 120,052,415 = 120,052,415
and
-1 x -120,052,415 = 120,052,415
Notice both answers equal 120,052,415

With that explanation out of the way, let's continue. Next, we take the number 120,052,415 and divide it by 2:

120,052,415 ÷ 2 = 60,026,207.5

If the quotient is a whole number, then 2 and 60,026,207.5 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:

1 120,052,415
-1 -120,052,415

Now, we try dividing 120,052,415 by 3:

120,052,415 ÷ 3 = 40,017,471.6667

If the quotient is a whole number, then 3 and 40,017,471.6667 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:

1 120,052,415
-1 -120,052,415

Let's try dividing by 4:

120,052,415 ÷ 4 = 30,013,103.75

If the quotient is a whole number, then 4 and 30,013,103.75 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:

1 120,052,415
-1 120,052,415
Keep dividing by the next highest number until you cannot divide anymore.

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

157351376859594,79525,037125,185175,259876,2953,430,06917,150,34524,010,483120,052,415
-1-5-7-35-137-685-959-4,795-25,037-125,185-175,259-876,295-3,430,069-17,150,345-24,010,483-120,052,415

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