Q: What are the factor combinations of the number 385,331,503?

 A:
Positive:   1 x 38533150317 x 22666559107 x 3601229289 x 1333327733 x 5256911819 x 2118374913 x 7843112461 x 30923
Negative: -1 x -385331503-17 x -22666559-107 x -3601229-289 x -1333327-733 x -525691-1819 x -211837-4913 x -78431-12461 x -30923


How do I find the factor combinations of the number 385,331,503?

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 385,331,503, 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.

1 385,331,503
-1 -385,331,503

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 385,331,503.

Example:
1 x 385,331,503 = 385,331,503
and
-1 x -385,331,503 = 385,331,503
Notice both answers equal 385,331,503

With that explanation out of the way, let's continue. Next, we take the number 385,331,503 and divide it by 2:

385,331,503 ÷ 2 = 192,665,751.5

If the quotient is a whole number, then 2 and 192,665,751.5 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:

1 385,331,503
-1 -385,331,503

Now, we try dividing 385,331,503 by 3:

385,331,503 ÷ 3 = 128,443,834.3333

If the quotient is a whole number, then 3 and 128,443,834.3333 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:

1 385,331,503
-1 -385,331,503

Let's try dividing by 4:

385,331,503 ÷ 4 = 96,332,875.75

If the quotient is a whole number, then 4 and 96,332,875.75 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:

1 385,331,503
-1 385,331,503
Keep dividing by the next highest number until you cannot divide anymore.

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

1171072897331,8194,91312,46130,92378,431211,837525,6911,333,3273,601,22922,666,559385,331,503
-1-17-107-289-733-1,819-4,913-12,461-30,923-78,431-211,837-525,691-1,333,327-3,601,229-22,666,559-385,331,503

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