Q: What are the factor combinations of the number 355,622,155?

 A:
Positive:   1 x 3556221555 x 711244317 x 5080316535 x 1016063349 x 7257595245 x 1451519569 x 6249952551 x 1394052845 x 1249993983 x 8928512755 x 2788117857 x 19915
Negative: -1 x -355622155-5 x -71124431-7 x -50803165-35 x -10160633-49 x -7257595-245 x -1451519-569 x -624995-2551 x -139405-2845 x -124999-3983 x -89285-12755 x -27881-17857 x -19915


How do I find the factor combinations of the number 355,622,155?

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 355,622,155, 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.

1 355,622,155
-1 -355,622,155

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 355,622,155.

Example:
1 x 355,622,155 = 355,622,155
and
-1 x -355,622,155 = 355,622,155
Notice both answers equal 355,622,155

With that explanation out of the way, let's continue. Next, we take the number 355,622,155 and divide it by 2:

355,622,155 ÷ 2 = 177,811,077.5

If the quotient is a whole number, then 2 and 177,811,077.5 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:

1 355,622,155
-1 -355,622,155

Now, we try dividing 355,622,155 by 3:

355,622,155 ÷ 3 = 118,540,718.3333

If the quotient is a whole number, then 3 and 118,540,718.3333 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:

1 355,622,155
-1 -355,622,155

Let's try dividing by 4:

355,622,155 ÷ 4 = 88,905,538.75

If the quotient is a whole number, then 4 and 88,905,538.75 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:

1 355,622,155
-1 355,622,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492455692,5512,8453,98312,75517,85719,91527,88189,285124,999139,405624,9951,451,5197,257,59510,160,63350,803,16571,124,431355,622,155
-1-5-7-35-49-245-569-2,551-2,845-3,983-12,755-17,857-19,915-27,881-89,285-124,999-139,405-624,995-1,451,519-7,257,595-10,160,633-50,803,165-71,124,431-355,622,155

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