Q: What are the factor combinations of the number 355,050,113?

 A:
Positive:   1 x 35505011311 x 3227728337 x 9595949367 x 967439407 x 8723592377 x 1493694037 x 8794913579 x 26147
Negative: -1 x -355050113-11 x -32277283-37 x -9595949-367 x -967439-407 x -872359-2377 x -149369-4037 x -87949-13579 x -26147


How do I find the factor combinations of the number 355,050,113?

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 355,050,113, 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.

1 355,050,113
-1 -355,050,113

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 355,050,113.

Example:
1 x 355,050,113 = 355,050,113
and
-1 x -355,050,113 = 355,050,113
Notice both answers equal 355,050,113

With that explanation out of the way, let's continue. Next, we take the number 355,050,113 and divide it by 2:

355,050,113 ÷ 2 = 177,525,056.5

If the quotient is a whole number, then 2 and 177,525,056.5 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:

1 355,050,113
-1 -355,050,113

Now, we try dividing 355,050,113 by 3:

355,050,113 ÷ 3 = 118,350,037.6667

If the quotient is a whole number, then 3 and 118,350,037.6667 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:

1 355,050,113
-1 -355,050,113

Let's try dividing by 4:

355,050,113 ÷ 4 = 88,762,528.25

If the quotient is a whole number, then 4 and 88,762,528.25 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:

1 355,050,113
-1 355,050,113
Keep dividing by the next highest number until you cannot divide anymore.

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

111373674072,3774,03713,57926,14787,949149,369872,359967,4399,595,94932,277,283355,050,113
-1-11-37-367-407-2,377-4,037-13,579-26,147-87,949-149,369-872,359-967,439-9,595,949-32,277,283-355,050,113

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 355,050,113:


Ask a Question