Q: What are the factor combinations of the number 335,143,333?

 A:
Positive:   1 x 3351433337 x 4787761943 x 779403161 x 5494153301 x 1113433427 x 7848792623 x 12777118253 x 18361
Negative: -1 x -335143333-7 x -47877619-43 x -7794031-61 x -5494153-301 x -1113433-427 x -784879-2623 x -127771-18253 x -18361


How do I find the factor combinations of the number 335,143,333?

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 335,143,333, 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.

1 335,143,333
-1 -335,143,333

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 335,143,333.

Example:
1 x 335,143,333 = 335,143,333
and
-1 x -335,143,333 = 335,143,333
Notice both answers equal 335,143,333

With that explanation out of the way, let's continue. Next, we take the number 335,143,333 and divide it by 2:

335,143,333 ÷ 2 = 167,571,666.5

If the quotient is a whole number, then 2 and 167,571,666.5 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:

1 335,143,333
-1 -335,143,333

Now, we try dividing 335,143,333 by 3:

335,143,333 ÷ 3 = 111,714,444.3333

If the quotient is a whole number, then 3 and 111,714,444.3333 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:

1 335,143,333
-1 -335,143,333

Let's try dividing by 4:

335,143,333 ÷ 4 = 83,785,833.25

If the quotient is a whole number, then 4 and 83,785,833.25 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:

1 335,143,333
-1 335,143,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1743613014272,62318,25318,361127,771784,8791,113,4335,494,1537,794,03147,877,619335,143,333
-1-7-43-61-301-427-2,623-18,253-18,361-127,771-784,879-1,113,433-5,494,153-7,794,031-47,877,619-335,143,333

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