Q: What are the factor combinations of the number 125,351,317?

 A:
Positive:   1 x 1253513177 x 1790733113 x 964240991 x 1377487
Negative: -1 x -125351317-7 x -17907331-13 x -9642409-91 x -1377487


How do I find the factor combinations of the number 125,351,317?

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 125,351,317, 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.

1 125,351,317
-1 -125,351,317

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 125,351,317.

Example:
1 x 125,351,317 = 125,351,317
and
-1 x -125,351,317 = 125,351,317
Notice both answers equal 125,351,317

With that explanation out of the way, let's continue. Next, we take the number 125,351,317 and divide it by 2:

125,351,317 ÷ 2 = 62,675,658.5

If the quotient is a whole number, then 2 and 62,675,658.5 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:

1 125,351,317
-1 -125,351,317

Now, we try dividing 125,351,317 by 3:

125,351,317 ÷ 3 = 41,783,772.3333

If the quotient is a whole number, then 3 and 41,783,772.3333 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:

1 125,351,317
-1 -125,351,317

Let's try dividing by 4:

125,351,317 ÷ 4 = 31,337,829.25

If the quotient is a whole number, then 4 and 31,337,829.25 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:

1 125,351,317
-1 125,351,317
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,377,4879,642,40917,907,331125,351,317
-1-7-13-91-1,377,487-9,642,409-17,907,331-125,351,317

More Examples

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