Q: What are the factor combinations of the number 131,330,131?

 A:
Positive:   1 x 13133013137 x 354946353 x 2477927193 x 680467347 x 3784731961 x 669717141 x 1839110229 x 12839
Negative: -1 x -131330131-37 x -3549463-53 x -2477927-193 x -680467-347 x -378473-1961 x -66971-7141 x -18391-10229 x -12839


How do I find the factor combinations of the number 131,330,131?

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 131,330,131, 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.

1 131,330,131
-1 -131,330,131

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 131,330,131.

Example:
1 x 131,330,131 = 131,330,131
and
-1 x -131,330,131 = 131,330,131
Notice both answers equal 131,330,131

With that explanation out of the way, let's continue. Next, we take the number 131,330,131 and divide it by 2:

131,330,131 ÷ 2 = 65,665,065.5

If the quotient is a whole number, then 2 and 65,665,065.5 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:

1 131,330,131
-1 -131,330,131

Now, we try dividing 131,330,131 by 3:

131,330,131 ÷ 3 = 43,776,710.3333

If the quotient is a whole number, then 3 and 43,776,710.3333 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:

1 131,330,131
-1 -131,330,131

Let's try dividing by 4:

131,330,131 ÷ 4 = 32,832,532.75

If the quotient is a whole number, then 4 and 32,832,532.75 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:

1 131,330,131
-1 131,330,131
Keep dividing by the next highest number until you cannot divide anymore.

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

137531933471,9617,14110,22912,83918,39166,971378,473680,4672,477,9273,549,463131,330,131
-1-37-53-193-347-1,961-7,141-10,229-12,839-18,391-66,971-378,473-680,467-2,477,927-3,549,463-131,330,131

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