Q: What are the factor combinations of the number 335,231,351?

 A:
Positive:   1 x 3352313517 x 4789019313 x 2578702767 x 500345391 x 3683861469 x 714779871 x 3848816097 x 54983
Negative: -1 x -335231351-7 x -47890193-13 x -25787027-67 x -5003453-91 x -3683861-469 x -714779-871 x -384881-6097 x -54983


How do I find the factor combinations of the number 335,231,351?

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 335,231,351, 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.

1 335,231,351
-1 -335,231,351

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 335,231,351.

Example:
1 x 335,231,351 = 335,231,351
and
-1 x -335,231,351 = 335,231,351
Notice both answers equal 335,231,351

With that explanation out of the way, let's continue. Next, we take the number 335,231,351 and divide it by 2:

335,231,351 ÷ 2 = 167,615,675.5

If the quotient is a whole number, then 2 and 167,615,675.5 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:

1 335,231,351
-1 -335,231,351

Now, we try dividing 335,231,351 by 3:

335,231,351 ÷ 3 = 111,743,783.6667

If the quotient is a whole number, then 3 and 111,743,783.6667 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:

1 335,231,351
-1 -335,231,351

Let's try dividing by 4:

335,231,351 ÷ 4 = 83,807,837.75

If the quotient is a whole number, then 4 and 83,807,837.75 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:

1 335,231,351
-1 335,231,351
Keep dividing by the next highest number until you cannot divide anymore.

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

171367914698716,09754,983384,881714,7793,683,8615,003,45325,787,02747,890,193335,231,351
-1-7-13-67-91-469-871-6,097-54,983-384,881-714,779-3,683,861-5,003,453-25,787,027-47,890,193-335,231,351

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 335,231,351:


Ask a Question