Q: What are the factor combinations of the number 125,356,165?

 A:
Positive:   1 x 1253561655 x 2507123311 x 1139601555 x 2279203191 x 656315955 x 1312632101 x 5966510505 x 11933
Negative: -1 x -125356165-5 x -25071233-11 x -11396015-55 x -2279203-191 x -656315-955 x -131263-2101 x -59665-10505 x -11933


How do I find the factor combinations of the number 125,356,165?

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 125,356,165, 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.

1 125,356,165
-1 -125,356,165

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 125,356,165.

Example:
1 x 125,356,165 = 125,356,165
and
-1 x -125,356,165 = 125,356,165
Notice both answers equal 125,356,165

With that explanation out of the way, let's continue. Next, we take the number 125,356,165 and divide it by 2:

125,356,165 ÷ 2 = 62,678,082.5

If the quotient is a whole number, then 2 and 62,678,082.5 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:

1 125,356,165
-1 -125,356,165

Now, we try dividing 125,356,165 by 3:

125,356,165 ÷ 3 = 41,785,388.3333

If the quotient is a whole number, then 3 and 41,785,388.3333 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:

1 125,356,165
-1 -125,356,165

Let's try dividing by 4:

125,356,165 ÷ 4 = 31,339,041.25

If the quotient is a whole number, then 4 and 31,339,041.25 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:

1 125,356,165
-1 125,356,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551919552,10110,50511,93359,665131,263656,3152,279,20311,396,01525,071,233125,356,165
-1-5-11-55-191-955-2,101-10,505-11,933-59,665-131,263-656,315-2,279,203-11,396,015-25,071,233-125,356,165

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