Q: What are the factor combinations of the number 355,005,463?

 A:
Positive:   1 x 35500546343 x 825594167 x 5298589149 x 2382587827 x 4292692881 x 1232236407 x 554099983 x 35561
Negative: -1 x -355005463-43 x -8255941-67 x -5298589-149 x -2382587-827 x -429269-2881 x -123223-6407 x -55409-9983 x -35561


How do I find the factor combinations of the number 355,005,463?

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 355,005,463, 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.

1 355,005,463
-1 -355,005,463

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 355,005,463.

Example:
1 x 355,005,463 = 355,005,463
and
-1 x -355,005,463 = 355,005,463
Notice both answers equal 355,005,463

With that explanation out of the way, let's continue. Next, we take the number 355,005,463 and divide it by 2:

355,005,463 ÷ 2 = 177,502,731.5

If the quotient is a whole number, then 2 and 177,502,731.5 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:

1 355,005,463
-1 -355,005,463

Now, we try dividing 355,005,463 by 3:

355,005,463 ÷ 3 = 118,335,154.3333

If the quotient is a whole number, then 3 and 118,335,154.3333 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:

1 355,005,463
-1 -355,005,463

Let's try dividing by 4:

355,005,463 ÷ 4 = 88,751,365.75

If the quotient is a whole number, then 4 and 88,751,365.75 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:

1 355,005,463
-1 355,005,463
Keep dividing by the next highest number until you cannot divide anymore.

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

143671498272,8816,4079,98335,56155,409123,223429,2692,382,5875,298,5898,255,941355,005,463
-1-43-67-149-827-2,881-6,407-9,983-35,561-55,409-123,223-429,269-2,382,587-5,298,589-8,255,941-355,005,463

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 355,005,463:


Ask a Question