Q: What are the factor combinations of the number 335,423,645?

 A:
Positive:   1 x 3354236455 x 6708472989 x 3768805173 x 1938865445 x 753761865 x 3877734357 x 7698515397 x 21785
Negative: -1 x -335423645-5 x -67084729-89 x -3768805-173 x -1938865-445 x -753761-865 x -387773-4357 x -76985-15397 x -21785


How do I find the factor combinations of the number 335,423,645?

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 335,423,645, 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.

1 335,423,645
-1 -335,423,645

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 335,423,645.

Example:
1 x 335,423,645 = 335,423,645
and
-1 x -335,423,645 = 335,423,645
Notice both answers equal 335,423,645

With that explanation out of the way, let's continue. Next, we take the number 335,423,645 and divide it by 2:

335,423,645 ÷ 2 = 167,711,822.5

If the quotient is a whole number, then 2 and 167,711,822.5 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:

1 335,423,645
-1 -335,423,645

Now, we try dividing 335,423,645 by 3:

335,423,645 ÷ 3 = 111,807,881.6667

If the quotient is a whole number, then 3 and 111,807,881.6667 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:

1 335,423,645
-1 -335,423,645

Let's try dividing by 4:

335,423,645 ÷ 4 = 83,855,911.25

If the quotient is a whole number, then 4 and 83,855,911.25 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:

1 335,423,645
-1 335,423,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15891734458654,35715,39721,78576,985387,773753,7611,938,8653,768,80567,084,729335,423,645
-1-5-89-173-445-865-4,357-15,397-21,785-76,985-387,773-753,761-1,938,865-3,768,805-67,084,729-335,423,645

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