Q: What are the factor combinations of the number 120,155,525?

 A:
Positive:   1 x 1201555255 x 240311057 x 1716507519 x 632397525 x 480622135 x 343301595 x 1264795133 x 903425175 x 686603475 x 252959665 x 1806853325 x 36137
Negative: -1 x -120155525-5 x -24031105-7 x -17165075-19 x -6323975-25 x -4806221-35 x -3433015-95 x -1264795-133 x -903425-175 x -686603-475 x -252959-665 x -180685-3325 x -36137


How do I find the factor combinations of the number 120,155,525?

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 120,155,525, 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.

1 120,155,525
-1 -120,155,525

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 120,155,525.

Example:
1 x 120,155,525 = 120,155,525
and
-1 x -120,155,525 = 120,155,525
Notice both answers equal 120,155,525

With that explanation out of the way, let's continue. Next, we take the number 120,155,525 and divide it by 2:

120,155,525 ÷ 2 = 60,077,762.5

If the quotient is a whole number, then 2 and 60,077,762.5 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:

1 120,155,525
-1 -120,155,525

Now, we try dividing 120,155,525 by 3:

120,155,525 ÷ 3 = 40,051,841.6667

If the quotient is a whole number, then 3 and 40,051,841.6667 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:

1 120,155,525
-1 -120,155,525

Let's try dividing by 4:

120,155,525 ÷ 4 = 30,038,881.25

If the quotient is a whole number, then 4 and 30,038,881.25 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:

1 120,155,525
-1 120,155,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,32536,137180,685252,959686,603903,4251,264,7953,433,0154,806,2216,323,97517,165,07524,031,105120,155,525
-1-5-7-19-25-35-95-133-175-475-665-3,325-36,137-180,685-252,959-686,603-903,425-1,264,795-3,433,015-4,806,221-6,323,975-17,165,075-24,031,105-120,155,525

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