Q: What are the factor combinations of the number 335,512,015?

 A:
Positive:   1 x 3355120155 x 6710240343 x 780260573 x 4596055215 x 1560521365 x 9192113139 x 10688515695 x 21377
Negative: -1 x -335512015-5 x -67102403-43 x -7802605-73 x -4596055-215 x -1560521-365 x -919211-3139 x -106885-15695 x -21377


How do I find the factor combinations of the number 335,512,015?

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 335,512,015, 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.

1 335,512,015
-1 -335,512,015

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 335,512,015.

Example:
1 x 335,512,015 = 335,512,015
and
-1 x -335,512,015 = 335,512,015
Notice both answers equal 335,512,015

With that explanation out of the way, let's continue. Next, we take the number 335,512,015 and divide it by 2:

335,512,015 ÷ 2 = 167,756,007.5

If the quotient is a whole number, then 2 and 167,756,007.5 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:

1 335,512,015
-1 -335,512,015

Now, we try dividing 335,512,015 by 3:

335,512,015 ÷ 3 = 111,837,338.3333

If the quotient is a whole number, then 3 and 111,837,338.3333 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:

1 335,512,015
-1 -335,512,015

Let's try dividing by 4:

335,512,015 ÷ 4 = 83,878,003.75

If the quotient is a whole number, then 4 and 83,878,003.75 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:

1 335,512,015
-1 335,512,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1543732153653,13915,69521,377106,885919,2111,560,5214,596,0557,802,60567,102,403335,512,015
-1-5-43-73-215-365-3,139-15,695-21,377-106,885-919,211-1,560,521-4,596,055-7,802,605-67,102,403-335,512,015

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