Q: What are the factor combinations of the number 355,050,161?

 A:
Positive:   1 x 35505016129 x 1224310931 x 11453231463 x 766847853 x 416237899 x 39493913427 x 2644314353 x 24737
Negative: -1 x -355050161-29 x -12243109-31 x -11453231-463 x -766847-853 x -416237-899 x -394939-13427 x -26443-14353 x -24737


How do I find the factor combinations of the number 355,050,161?

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 355,050,161, 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.

1 355,050,161
-1 -355,050,161

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 355,050,161.

Example:
1 x 355,050,161 = 355,050,161
and
-1 x -355,050,161 = 355,050,161
Notice both answers equal 355,050,161

With that explanation out of the way, let's continue. Next, we take the number 355,050,161 and divide it by 2:

355,050,161 ÷ 2 = 177,525,080.5

If the quotient is a whole number, then 2 and 177,525,080.5 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:

1 355,050,161
-1 -355,050,161

Now, we try dividing 355,050,161 by 3:

355,050,161 ÷ 3 = 118,350,053.6667

If the quotient is a whole number, then 3 and 118,350,053.6667 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:

1 355,050,161
-1 -355,050,161

Let's try dividing by 4:

355,050,161 ÷ 4 = 88,762,540.25

If the quotient is a whole number, then 4 and 88,762,540.25 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:

1 355,050,161
-1 355,050,161
Keep dividing by the next highest number until you cannot divide anymore.

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

1293146385389913,42714,35324,73726,443394,939416,237766,84711,453,23112,243,109355,050,161
-1-29-31-463-853-899-13,427-14,353-24,737-26,443-394,939-416,237-766,847-11,453,231-12,243,109-355,050,161

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