Q: What are the factor combinations of the number 125,072,617?

 A:
Positive:   1 x 12507261737 x 338034183 x 1506899139 x 899803293 x 4268693071 x 407275143 x 2431910841 x 11537
Negative: -1 x -125072617-37 x -3380341-83 x -1506899-139 x -899803-293 x -426869-3071 x -40727-5143 x -24319-10841 x -11537


How do I find the factor combinations of the number 125,072,617?

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 125,072,617, 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.

1 125,072,617
-1 -125,072,617

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 125,072,617.

Example:
1 x 125,072,617 = 125,072,617
and
-1 x -125,072,617 = 125,072,617
Notice both answers equal 125,072,617

With that explanation out of the way, let's continue. Next, we take the number 125,072,617 and divide it by 2:

125,072,617 ÷ 2 = 62,536,308.5

If the quotient is a whole number, then 2 and 62,536,308.5 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:

1 125,072,617
-1 -125,072,617

Now, we try dividing 125,072,617 by 3:

125,072,617 ÷ 3 = 41,690,872.3333

If the quotient is a whole number, then 3 and 41,690,872.3333 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:

1 125,072,617
-1 -125,072,617

Let's try dividing by 4:

125,072,617 ÷ 4 = 31,268,154.25

If the quotient is a whole number, then 4 and 31,268,154.25 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:

1 125,072,617
-1 125,072,617
Keep dividing by the next highest number until you cannot divide anymore.

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

137831392933,0715,14310,84111,53724,31940,727426,869899,8031,506,8993,380,341125,072,617
-1-37-83-139-293-3,071-5,143-10,841-11,537-24,319-40,727-426,869-899,803-1,506,899-3,380,341-125,072,617

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 125,072,617:


Ask a Question