Q: What are the factor combinations of the number 131,003,155?

 A:
Positive:   1 x 1310031555 x 2620063143 x 3046585157 x 834415215 x 609317785 x 1668833881 x 337556751 x 19405
Negative: -1 x -131003155-5 x -26200631-43 x -3046585-157 x -834415-215 x -609317-785 x -166883-3881 x -33755-6751 x -19405


How do I find the factor combinations of the number 131,003,155?

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 131,003,155, 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.

1 131,003,155
-1 -131,003,155

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 131,003,155.

Example:
1 x 131,003,155 = 131,003,155
and
-1 x -131,003,155 = 131,003,155
Notice both answers equal 131,003,155

With that explanation out of the way, let's continue. Next, we take the number 131,003,155 and divide it by 2:

131,003,155 ÷ 2 = 65,501,577.5

If the quotient is a whole number, then 2 and 65,501,577.5 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:

1 131,003,155
-1 -131,003,155

Now, we try dividing 131,003,155 by 3:

131,003,155 ÷ 3 = 43,667,718.3333

If the quotient is a whole number, then 3 and 43,667,718.3333 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:

1 131,003,155
-1 -131,003,155

Let's try dividing by 4:

131,003,155 ÷ 4 = 32,750,788.75

If the quotient is a whole number, then 4 and 32,750,788.75 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:

1 131,003,155
-1 131,003,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15431572157853,8816,75119,40533,755166,883609,317834,4153,046,58526,200,631131,003,155
-1-5-43-157-215-785-3,881-6,751-19,405-33,755-166,883-609,317-834,415-3,046,585-26,200,631-131,003,155

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