Q: What are the factor combinations of the number 331,454,633?

 A:
Positive:   1 x 33145463323 x 1441107153 x 6253861127 x 26098791219 x 2719072141 x 1548132921 x 1134736731 x 49243
Negative: -1 x -331454633-23 x -14411071-53 x -6253861-127 x -2609879-1219 x -271907-2141 x -154813-2921 x -113473-6731 x -49243


How do I find the factor combinations of the number 331,454,633?

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 331,454,633, 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.

1 331,454,633
-1 -331,454,633

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 331,454,633.

Example:
1 x 331,454,633 = 331,454,633
and
-1 x -331,454,633 = 331,454,633
Notice both answers equal 331,454,633

With that explanation out of the way, let's continue. Next, we take the number 331,454,633 and divide it by 2:

331,454,633 ÷ 2 = 165,727,316.5

If the quotient is a whole number, then 2 and 165,727,316.5 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:

1 331,454,633
-1 -331,454,633

Now, we try dividing 331,454,633 by 3:

331,454,633 ÷ 3 = 110,484,877.6667

If the quotient is a whole number, then 3 and 110,484,877.6667 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:

1 331,454,633
-1 -331,454,633

Let's try dividing by 4:

331,454,633 ÷ 4 = 82,863,658.25

If the quotient is a whole number, then 4 and 82,863,658.25 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:

1 331,454,633
-1 331,454,633
Keep dividing by the next highest number until you cannot divide anymore.

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

123531271,2192,1412,9216,73149,243113,473154,813271,9072,609,8796,253,86114,411,071331,454,633
-1-23-53-127-1,219-2,141-2,921-6,731-49,243-113,473-154,813-271,907-2,609,879-6,253,861-14,411,071-331,454,633

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