Q: What are the factor combinations of the number 355,043,317?

 A:
Positive:   1 x 35504331717 x 2088490129 x 12242873337 x 1053541493 x 7201692137 x 1661415729 x 619739773 x 36329
Negative: -1 x -355043317-17 x -20884901-29 x -12242873-337 x -1053541-493 x -720169-2137 x -166141-5729 x -61973-9773 x -36329


How do I find the factor combinations of the number 355,043,317?

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 355,043,317, 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.

1 355,043,317
-1 -355,043,317

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 355,043,317.

Example:
1 x 355,043,317 = 355,043,317
and
-1 x -355,043,317 = 355,043,317
Notice both answers equal 355,043,317

With that explanation out of the way, let's continue. Next, we take the number 355,043,317 and divide it by 2:

355,043,317 ÷ 2 = 177,521,658.5

If the quotient is a whole number, then 2 and 177,521,658.5 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:

1 355,043,317
-1 -355,043,317

Now, we try dividing 355,043,317 by 3:

355,043,317 ÷ 3 = 118,347,772.3333

If the quotient is a whole number, then 3 and 118,347,772.3333 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:

1 355,043,317
-1 -355,043,317

Let's try dividing by 4:

355,043,317 ÷ 4 = 88,760,829.25

If the quotient is a whole number, then 4 and 88,760,829.25 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:

1 355,043,317
-1 355,043,317
Keep dividing by the next highest number until you cannot divide anymore.

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

117293374932,1375,7299,77336,32961,973166,141720,1691,053,54112,242,87320,884,901355,043,317
-1-17-29-337-493-2,137-5,729-9,773-36,329-61,973-166,141-720,169-1,053,541-12,242,873-20,884,901-355,043,317

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 355,043,317:


Ask a Question