Q: What are the factor combinations of the number 320,103,113?

 A:
Positive:   1 x 32010311311 x 2910028341 x 7807393317 x 1009789451 x 7097632239 x 1429673487 x 9179912997 x 24629
Negative: -1 x -320103113-11 x -29100283-41 x -7807393-317 x -1009789-451 x -709763-2239 x -142967-3487 x -91799-12997 x -24629


How do I find the factor combinations of the number 320,103,113?

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 320,103,113, 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.

1 320,103,113
-1 -320,103,113

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 320,103,113.

Example:
1 x 320,103,113 = 320,103,113
and
-1 x -320,103,113 = 320,103,113
Notice both answers equal 320,103,113

With that explanation out of the way, let's continue. Next, we take the number 320,103,113 and divide it by 2:

320,103,113 ÷ 2 = 160,051,556.5

If the quotient is a whole number, then 2 and 160,051,556.5 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:

1 320,103,113
-1 -320,103,113

Now, we try dividing 320,103,113 by 3:

320,103,113 ÷ 3 = 106,701,037.6667

If the quotient is a whole number, then 3 and 106,701,037.6667 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:

1 320,103,113
-1 -320,103,113

Let's try dividing by 4:

320,103,113 ÷ 4 = 80,025,778.25

If the quotient is a whole number, then 4 and 80,025,778.25 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:

1 320,103,113
-1 320,103,113
Keep dividing by the next highest number until you cannot divide anymore.

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

111413174512,2393,48712,99724,62991,799142,967709,7631,009,7897,807,39329,100,283320,103,113
-1-11-41-317-451-2,239-3,487-12,997-24,629-91,799-142,967-709,763-1,009,789-7,807,393-29,100,283-320,103,113

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