Q: What are the factor combinations of the number 125,152,115?

 A:
Positive:   1 x 1251521155 x 2503042311 x 1137746531 x 403716555 x 2275493121 x 1034315155 x 807433341 x 367015605 x 2068631705 x 734033751 x 333656673 x 18755
Negative: -1 x -125152115-5 x -25030423-11 x -11377465-31 x -4037165-55 x -2275493-121 x -1034315-155 x -807433-341 x -367015-605 x -206863-1705 x -73403-3751 x -33365-6673 x -18755


How do I find the factor combinations of the number 125,152,115?

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 125,152,115, 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.

1 125,152,115
-1 -125,152,115

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 125,152,115.

Example:
1 x 125,152,115 = 125,152,115
and
-1 x -125,152,115 = 125,152,115
Notice both answers equal 125,152,115

With that explanation out of the way, let's continue. Next, we take the number 125,152,115 and divide it by 2:

125,152,115 ÷ 2 = 62,576,057.5

If the quotient is a whole number, then 2 and 62,576,057.5 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:

1 125,152,115
-1 -125,152,115

Now, we try dividing 125,152,115 by 3:

125,152,115 ÷ 3 = 41,717,371.6667

If the quotient is a whole number, then 3 and 41,717,371.6667 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:

1 125,152,115
-1 -125,152,115

Let's try dividing by 4:

125,152,115 ÷ 4 = 31,288,028.75

If the quotient is a whole number, then 4 and 31,288,028.75 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:

1 125,152,115
-1 125,152,115
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551211553416051,7053,7516,67318,75533,36573,403206,863367,015807,4331,034,3152,275,4934,037,16511,377,46525,030,423125,152,115
-1-5-11-31-55-121-155-341-605-1,705-3,751-6,673-18,755-33,365-73,403-206,863-367,015-807,433-1,034,315-2,275,493-4,037,165-11,377,465-25,030,423-125,152,115

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