Q: What are the factor combinations of the number 125,114,015?

 A:
Positive:   1 x 1251140155 x 2502280313 x 962415565 x 1924831109 x 1147835545 x 2295671417 x 882957085 x 17659
Negative: -1 x -125114015-5 x -25022803-13 x -9624155-65 x -1924831-109 x -1147835-545 x -229567-1417 x -88295-7085 x -17659


How do I find the factor combinations of the number 125,114,015?

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 125,114,015, 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.

1 125,114,015
-1 -125,114,015

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 125,114,015.

Example:
1 x 125,114,015 = 125,114,015
and
-1 x -125,114,015 = 125,114,015
Notice both answers equal 125,114,015

With that explanation out of the way, let's continue. Next, we take the number 125,114,015 and divide it by 2:

125,114,015 ÷ 2 = 62,557,007.5

If the quotient is a whole number, then 2 and 62,557,007.5 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:

1 125,114,015
-1 -125,114,015

Now, we try dividing 125,114,015 by 3:

125,114,015 ÷ 3 = 41,704,671.6667

If the quotient is a whole number, then 3 and 41,704,671.6667 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:

1 125,114,015
-1 -125,114,015

Let's try dividing by 4:

125,114,015 ÷ 4 = 31,278,503.75

If the quotient is a whole number, then 4 and 31,278,503.75 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:

1 125,114,015
-1 125,114,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651095451,4177,08517,65988,295229,5671,147,8351,924,8319,624,15525,022,803125,114,015
-1-5-13-65-109-545-1,417-7,085-17,659-88,295-229,567-1,147,835-1,924,831-9,624,155-25,022,803-125,114,015

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