Q: What are the factor combinations of the number 355,544,039?

 A:
Positive:   1 x 355544039
Negative: -1 x -355544039


How do I find the factor combinations of the number 355,544,039?

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 355,544,039, 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.

1 355,544,039
-1 -355,544,039

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 355,544,039.

Example:
1 x 355,544,039 = 355,544,039
and
-1 x -355,544,039 = 355,544,039
Notice both answers equal 355,544,039

With that explanation out of the way, let's continue. Next, we take the number 355,544,039 and divide it by 2:

355,544,039 ÷ 2 = 177,772,019.5

If the quotient is a whole number, then 2 and 177,772,019.5 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:

1 355,544,039
-1 -355,544,039

Now, we try dividing 355,544,039 by 3:

355,544,039 ÷ 3 = 118,514,679.6667

If the quotient is a whole number, then 3 and 118,514,679.6667 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:

1 355,544,039
-1 -355,544,039

Let's try dividing by 4:

355,544,039 ÷ 4 = 88,886,009.75

If the quotient is a whole number, then 4 and 88,886,009.75 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:

1 355,544,039
-1 355,544,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1355,544,039
-1-355,544,039

More Examples

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