Q: What are the factor combinations of the number 331,113,097?

 A:
Positive:   1 x 3311130977 x 4730187117 x 1947724129 x 11417693119 x 2782463203 x 1631099493 x 6716293451 x 95947
Negative: -1 x -331113097-7 x -47301871-17 x -19477241-29 x -11417693-119 x -2782463-203 x -1631099-493 x -671629-3451 x -95947


How do I find the factor combinations of the number 331,113,097?

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 331,113,097, 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.

1 331,113,097
-1 -331,113,097

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 331,113,097.

Example:
1 x 331,113,097 = 331,113,097
and
-1 x -331,113,097 = 331,113,097
Notice both answers equal 331,113,097

With that explanation out of the way, let's continue. Next, we take the number 331,113,097 and divide it by 2:

331,113,097 ÷ 2 = 165,556,548.5

If the quotient is a whole number, then 2 and 165,556,548.5 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:

1 331,113,097
-1 -331,113,097

Now, we try dividing 331,113,097 by 3:

331,113,097 ÷ 3 = 110,371,032.3333

If the quotient is a whole number, then 3 and 110,371,032.3333 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:

1 331,113,097
-1 -331,113,097

Let's try dividing by 4:

331,113,097 ÷ 4 = 82,778,274.25

If the quotient is a whole number, then 4 and 82,778,274.25 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:

1 331,113,097
-1 331,113,097
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034933,45195,947671,6291,631,0992,782,46311,417,69319,477,24147,301,871331,113,097
-1-7-17-29-119-203-493-3,451-95,947-671,629-1,631,099-2,782,463-11,417,693-19,477,241-47,301,871-331,113,097

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