Q: What are the factor combinations of the number 125,422,865?

 A:
Positive:   1 x 1254228655 x 25084573151 x 830615271 x 462815613 x 204605755 x 1661231355 x 925633065 x 40921
Negative: -1 x -125422865-5 x -25084573-151 x -830615-271 x -462815-613 x -204605-755 x -166123-1355 x -92563-3065 x -40921


How do I find the factor combinations of the number 125,422,865?

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 125,422,865, 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.

1 125,422,865
-1 -125,422,865

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 125,422,865.

Example:
1 x 125,422,865 = 125,422,865
and
-1 x -125,422,865 = 125,422,865
Notice both answers equal 125,422,865

With that explanation out of the way, let's continue. Next, we take the number 125,422,865 and divide it by 2:

125,422,865 ÷ 2 = 62,711,432.5

If the quotient is a whole number, then 2 and 62,711,432.5 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:

1 125,422,865
-1 -125,422,865

Now, we try dividing 125,422,865 by 3:

125,422,865 ÷ 3 = 41,807,621.6667

If the quotient is a whole number, then 3 and 41,807,621.6667 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:

1 125,422,865
-1 -125,422,865

Let's try dividing by 4:

125,422,865 ÷ 4 = 31,355,716.25

If the quotient is a whole number, then 4 and 31,355,716.25 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:

1 125,422,865
-1 125,422,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151512716137551,3553,06540,92192,563166,123204,605462,815830,61525,084,573125,422,865
-1-5-151-271-613-755-1,355-3,065-40,921-92,563-166,123-204,605-462,815-830,615-25,084,573-125,422,865

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