Q: What are the factor combinations of the number 131,002,333?

 A:
Positive:   1 x 1310023337 x 1871461911 x 1190930349 x 267351777 x 1701329343 x 381931539 x 2430473773 x 34721
Negative: -1 x -131002333-7 x -18714619-11 x -11909303-49 x -2673517-77 x -1701329-343 x -381931-539 x -243047-3773 x -34721


How do I find the factor combinations of the number 131,002,333?

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 131,002,333, 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.

1 131,002,333
-1 -131,002,333

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 131,002,333.

Example:
1 x 131,002,333 = 131,002,333
and
-1 x -131,002,333 = 131,002,333
Notice both answers equal 131,002,333

With that explanation out of the way, let's continue. Next, we take the number 131,002,333 and divide it by 2:

131,002,333 ÷ 2 = 65,501,166.5

If the quotient is a whole number, then 2 and 65,501,166.5 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:

1 131,002,333
-1 -131,002,333

Now, we try dividing 131,002,333 by 3:

131,002,333 ÷ 3 = 43,667,444.3333

If the quotient is a whole number, then 3 and 43,667,444.3333 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:

1 131,002,333
-1 -131,002,333

Let's try dividing by 4:

131,002,333 ÷ 4 = 32,750,583.25

If the quotient is a whole number, then 4 and 32,750,583.25 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:

1 131,002,333
-1 131,002,333
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435393,77334,721243,047381,9311,701,3292,673,51711,909,30318,714,619131,002,333
-1-7-11-49-77-343-539-3,773-34,721-243,047-381,931-1,701,329-2,673,517-11,909,303-18,714,619-131,002,333

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