Q: What are the factor combinations of the number 331,355,435?

 A:
Positive:   1 x 3313554355 x 6627108731 x 10688885155 x 2137777479 x 6917652395 x 1383534463 x 7424514849 x 22315
Negative: -1 x -331355435-5 x -66271087-31 x -10688885-155 x -2137777-479 x -691765-2395 x -138353-4463 x -74245-14849 x -22315


How do I find the factor combinations of the number 331,355,435?

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 331,355,435, 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.

1 331,355,435
-1 -331,355,435

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 331,355,435.

Example:
1 x 331,355,435 = 331,355,435
and
-1 x -331,355,435 = 331,355,435
Notice both answers equal 331,355,435

With that explanation out of the way, let's continue. Next, we take the number 331,355,435 and divide it by 2:

331,355,435 ÷ 2 = 165,677,717.5

If the quotient is a whole number, then 2 and 165,677,717.5 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:

1 331,355,435
-1 -331,355,435

Now, we try dividing 331,355,435 by 3:

331,355,435 ÷ 3 = 110,451,811.6667

If the quotient is a whole number, then 3 and 110,451,811.6667 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:

1 331,355,435
-1 -331,355,435

Let's try dividing by 4:

331,355,435 ÷ 4 = 82,838,858.75

If the quotient is a whole number, then 4 and 82,838,858.75 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:

1 331,355,435
-1 331,355,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15311554792,3954,46314,84922,31574,245138,353691,7652,137,77710,688,88566,271,087331,355,435
-1-5-31-155-479-2,395-4,463-14,849-22,315-74,245-138,353-691,765-2,137,777-10,688,885-66,271,087-331,355,435

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