Q: What are the factor combinations of the number 135,325,571?

 A:
Positive:   1 x 13532557129 x 466639931 x 4365341109 x 1241519899 x 1505291381 x 979913161 x 428113379 x 40049
Negative: -1 x -135325571-29 x -4666399-31 x -4365341-109 x -1241519-899 x -150529-1381 x -97991-3161 x -42811-3379 x -40049


How do I find the factor combinations of the number 135,325,571?

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 135,325,571, 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.

1 135,325,571
-1 -135,325,571

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 135,325,571.

Example:
1 x 135,325,571 = 135,325,571
and
-1 x -135,325,571 = 135,325,571
Notice both answers equal 135,325,571

With that explanation out of the way, let's continue. Next, we take the number 135,325,571 and divide it by 2:

135,325,571 ÷ 2 = 67,662,785.5

If the quotient is a whole number, then 2 and 67,662,785.5 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:

1 135,325,571
-1 -135,325,571

Now, we try dividing 135,325,571 by 3:

135,325,571 ÷ 3 = 45,108,523.6667

If the quotient is a whole number, then 3 and 45,108,523.6667 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:

1 135,325,571
-1 -135,325,571

Let's try dividing by 4:

135,325,571 ÷ 4 = 33,831,392.75

If the quotient is a whole number, then 4 and 33,831,392.75 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:

1 135,325,571
-1 135,325,571
Keep dividing by the next highest number until you cannot divide anymore.

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

129311098991,3813,1613,37940,04942,81197,991150,5291,241,5194,365,3414,666,399135,325,571
-1-29-31-109-899-1,381-3,161-3,379-40,049-42,811-97,991-150,529-1,241,519-4,365,341-4,666,399-135,325,571

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