Q: What are the factor combinations of the number 125,503,145?

 A:
Positive:   1 x 1255031455 x 25100629109 x 1151405545 x 230281
Negative: -1 x -125503145-5 x -25100629-109 x -1151405-545 x -230281


How do I find the factor combinations of the number 125,503,145?

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 125,503,145, 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.

1 125,503,145
-1 -125,503,145

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 125,503,145.

Example:
1 x 125,503,145 = 125,503,145
and
-1 x -125,503,145 = 125,503,145
Notice both answers equal 125,503,145

With that explanation out of the way, let's continue. Next, we take the number 125,503,145 and divide it by 2:

125,503,145 ÷ 2 = 62,751,572.5

If the quotient is a whole number, then 2 and 62,751,572.5 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:

1 125,503,145
-1 -125,503,145

Now, we try dividing 125,503,145 by 3:

125,503,145 ÷ 3 = 41,834,381.6667

If the quotient is a whole number, then 3 and 41,834,381.6667 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:

1 125,503,145
-1 -125,503,145

Let's try dividing by 4:

125,503,145 ÷ 4 = 31,375,786.25

If the quotient is a whole number, then 4 and 31,375,786.25 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:

1 125,503,145
-1 125,503,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15109545230,2811,151,40525,100,629125,503,145
-1-5-109-545-230,281-1,151,405-25,100,629-125,503,145

More Examples

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