Q: What are the factor combinations of the number 335,335,555?

 A:
Positive:   1 x 3353355555 x 6706711129 x 11563295103 x 3255685145 x 2312659515 x 6511372987 x 11226514935 x 22453
Negative: -1 x -335335555-5 x -67067111-29 x -11563295-103 x -3255685-145 x -2312659-515 x -651137-2987 x -112265-14935 x -22453


How do I find the factor combinations of the number 335,335,555?

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 335,335,555, 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.

1 335,335,555
-1 -335,335,555

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 335,335,555.

Example:
1 x 335,335,555 = 335,335,555
and
-1 x -335,335,555 = 335,335,555
Notice both answers equal 335,335,555

With that explanation out of the way, let's continue. Next, we take the number 335,335,555 and divide it by 2:

335,335,555 ÷ 2 = 167,667,777.5

If the quotient is a whole number, then 2 and 167,667,777.5 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:

1 335,335,555
-1 -335,335,555

Now, we try dividing 335,335,555 by 3:

335,335,555 ÷ 3 = 111,778,518.3333

If the quotient is a whole number, then 3 and 111,778,518.3333 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:

1 335,335,555
-1 -335,335,555

Let's try dividing by 4:

335,335,555 ÷ 4 = 83,833,888.75

If the quotient is a whole number, then 4 and 83,833,888.75 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:

1 335,335,555
-1 335,335,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15291031455152,98714,93522,453112,265651,1372,312,6593,255,68511,563,29567,067,111335,335,555
-1-5-29-103-145-515-2,987-14,935-22,453-112,265-651,137-2,312,659-3,255,685-11,563,295-67,067,111-335,335,555

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