Q: What are the factor combinations of the number 355,643,539?

 A:
Positive:   1 x 35564353919 x 18718081173 x 2055743257 x 1383827421 x 8447593287 x 1081974883 x 728337999 x 44461
Negative: -1 x -355643539-19 x -18718081-173 x -2055743-257 x -1383827-421 x -844759-3287 x -108197-4883 x -72833-7999 x -44461


How do I find the factor combinations of the number 355,643,539?

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 355,643,539, 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.

1 355,643,539
-1 -355,643,539

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 355,643,539.

Example:
1 x 355,643,539 = 355,643,539
and
-1 x -355,643,539 = 355,643,539
Notice both answers equal 355,643,539

With that explanation out of the way, let's continue. Next, we take the number 355,643,539 and divide it by 2:

355,643,539 ÷ 2 = 177,821,769.5

If the quotient is a whole number, then 2 and 177,821,769.5 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:

1 355,643,539
-1 -355,643,539

Now, we try dividing 355,643,539 by 3:

355,643,539 ÷ 3 = 118,547,846.3333

If the quotient is a whole number, then 3 and 118,547,846.3333 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:

1 355,643,539
-1 -355,643,539

Let's try dividing by 4:

355,643,539 ÷ 4 = 88,910,884.75

If the quotient is a whole number, then 4 and 88,910,884.75 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:

1 355,643,539
-1 355,643,539
Keep dividing by the next highest number until you cannot divide anymore.

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

1191732574213,2874,8837,99944,46172,833108,197844,7591,383,8272,055,74318,718,081355,643,539
-1-19-173-257-421-3,287-4,883-7,999-44,461-72,833-108,197-844,759-1,383,827-2,055,743-18,718,081-355,643,539

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