Q: What are the factor combinations of the number 131,461,165?

 A:
Positive:   1 x 1314611655 x 2629223311 x 1195101555 x 2390203797 x 1649452999 x 438353985 x 329898767 x 14995
Negative: -1 x -131461165-5 x -26292233-11 x -11951015-55 x -2390203-797 x -164945-2999 x -43835-3985 x -32989-8767 x -14995


How do I find the factor combinations of the number 131,461,165?

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 131,461,165, 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.

1 131,461,165
-1 -131,461,165

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 131,461,165.

Example:
1 x 131,461,165 = 131,461,165
and
-1 x -131,461,165 = 131,461,165
Notice both answers equal 131,461,165

With that explanation out of the way, let's continue. Next, we take the number 131,461,165 and divide it by 2:

131,461,165 ÷ 2 = 65,730,582.5

If the quotient is a whole number, then 2 and 65,730,582.5 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:

1 131,461,165
-1 -131,461,165

Now, we try dividing 131,461,165 by 3:

131,461,165 ÷ 3 = 43,820,388.3333

If the quotient is a whole number, then 3 and 43,820,388.3333 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:

1 131,461,165
-1 -131,461,165

Let's try dividing by 4:

131,461,165 ÷ 4 = 32,865,291.25

If the quotient is a whole number, then 4 and 32,865,291.25 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:

1 131,461,165
-1 131,461,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511557972,9993,9858,76714,99532,98943,835164,9452,390,20311,951,01526,292,233131,461,165
-1-5-11-55-797-2,999-3,985-8,767-14,995-32,989-43,835-164,945-2,390,203-11,951,015-26,292,233-131,461,165

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