Q: What are the factor combinations of the number 335,531,315?

 A:
Positive:   1 x 3355313155 x 671062637 x 4793304535 x 95866091163 x 2885055815 x 577018141 x 412158243 x 40705
Negative: -1 x -335531315-5 x -67106263-7 x -47933045-35 x -9586609-1163 x -288505-5815 x -57701-8141 x -41215-8243 x -40705


How do I find the factor combinations of the number 335,531,315?

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 335,531,315, 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.

1 335,531,315
-1 -335,531,315

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 335,531,315.

Example:
1 x 335,531,315 = 335,531,315
and
-1 x -335,531,315 = 335,531,315
Notice both answers equal 335,531,315

With that explanation out of the way, let's continue. Next, we take the number 335,531,315 and divide it by 2:

335,531,315 ÷ 2 = 167,765,657.5

If the quotient is a whole number, then 2 and 167,765,657.5 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:

1 335,531,315
-1 -335,531,315

Now, we try dividing 335,531,315 by 3:

335,531,315 ÷ 3 = 111,843,771.6667

If the quotient is a whole number, then 3 and 111,843,771.6667 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:

1 335,531,315
-1 -335,531,315

Let's try dividing by 4:

335,531,315 ÷ 4 = 83,882,828.75

If the quotient is a whole number, then 4 and 83,882,828.75 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:

1 335,531,315
-1 335,531,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,1635,8158,1418,24340,70541,21557,701288,5059,586,60947,933,04567,106,263335,531,315
-1-5-7-35-1,163-5,815-8,141-8,243-40,705-41,215-57,701-288,505-9,586,609-47,933,045-67,106,263-335,531,315

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