Q: What are the factor combinations of the number 335,521,165?

 A:
Positive:   1 x 3355211655 x 671042337 x 4793159535 x 9586319233 x 14400051165 x 2880011631 x 2057158155 x 41143
Negative: -1 x -335521165-5 x -67104233-7 x -47931595-35 x -9586319-233 x -1440005-1165 x -288001-1631 x -205715-8155 x -41143


How do I find the factor combinations of the number 335,521,165?

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 335,521,165, 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.

1 335,521,165
-1 -335,521,165

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 335,521,165.

Example:
1 x 335,521,165 = 335,521,165
and
-1 x -335,521,165 = 335,521,165
Notice both answers equal 335,521,165

With that explanation out of the way, let's continue. Next, we take the number 335,521,165 and divide it by 2:

335,521,165 ÷ 2 = 167,760,582.5

If the quotient is a whole number, then 2 and 167,760,582.5 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:

1 335,521,165
-1 -335,521,165

Now, we try dividing 335,521,165 by 3:

335,521,165 ÷ 3 = 111,840,388.3333

If the quotient is a whole number, then 3 and 111,840,388.3333 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:

1 335,521,165
-1 -335,521,165

Let's try dividing by 4:

335,521,165 ÷ 4 = 83,880,291.25

If the quotient is a whole number, then 4 and 83,880,291.25 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:

1 335,521,165
-1 335,521,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6318,15541,143205,715288,0011,440,0059,586,31947,931,59567,104,233335,521,165
-1-5-7-35-233-1,165-1,631-8,155-41,143-205,715-288,001-1,440,005-9,586,319-47,931,595-67,104,233-335,521,165

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