Q: What are the factor combinations of the number 120,180,055?

 A:
Positive:   1 x 1201800555 x 2403601117 x 706941543 x 279488585 x 1413883131 x 917405215 x 558977251 x 478805655 x 183481731 x 1644051255 x 957612227 x 539653655 x 328814267 x 281655633 x 2133510793 x 11135
Negative: -1 x -120180055-5 x -24036011-17 x -7069415-43 x -2794885-85 x -1413883-131 x -917405-215 x -558977-251 x -478805-655 x -183481-731 x -164405-1255 x -95761-2227 x -53965-3655 x -32881-4267 x -28165-5633 x -21335-10793 x -11135


How do I find the factor combinations of the number 120,180,055?

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 120,180,055, 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.

1 120,180,055
-1 -120,180,055

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 120,180,055.

Example:
1 x 120,180,055 = 120,180,055
and
-1 x -120,180,055 = 120,180,055
Notice both answers equal 120,180,055

With that explanation out of the way, let's continue. Next, we take the number 120,180,055 and divide it by 2:

120,180,055 ÷ 2 = 60,090,027.5

If the quotient is a whole number, then 2 and 60,090,027.5 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:

1 120,180,055
-1 -120,180,055

Now, we try dividing 120,180,055 by 3:

120,180,055 ÷ 3 = 40,060,018.3333

If the quotient is a whole number, then 3 and 40,060,018.3333 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:

1 120,180,055
-1 -120,180,055

Let's try dividing by 4:

120,180,055 ÷ 4 = 30,045,013.75

If the quotient is a whole number, then 4 and 30,045,013.75 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:

1 120,180,055
-1 120,180,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151743851312152516557311,2552,2273,6554,2675,63310,79311,13521,33528,16532,88153,96595,761164,405183,481478,805558,977917,4051,413,8832,794,8857,069,41524,036,011120,180,055
-1-5-17-43-85-131-215-251-655-731-1,255-2,227-3,655-4,267-5,633-10,793-11,135-21,335-28,165-32,881-53,965-95,761-164,405-183,481-478,805-558,977-917,405-1,413,883-2,794,885-7,069,415-24,036,011-120,180,055

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