Q: What are the factor combinations of the number 303,242,155?

 A:
Positive:   1 x 3032421555 x 6064843131 x 9782005155 x 19564011321 x 2295551481 x 2047556605 x 459117405 x 40951
Negative: -1 x -303242155-5 x -60648431-31 x -9782005-155 x -1956401-1321 x -229555-1481 x -204755-6605 x -45911-7405 x -40951


How do I find the factor combinations of the number 303,242,155?

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 303,242,155, 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.

1 303,242,155
-1 -303,242,155

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 303,242,155.

Example:
1 x 303,242,155 = 303,242,155
and
-1 x -303,242,155 = 303,242,155
Notice both answers equal 303,242,155

With that explanation out of the way, let's continue. Next, we take the number 303,242,155 and divide it by 2:

303,242,155 ÷ 2 = 151,621,077.5

If the quotient is a whole number, then 2 and 151,621,077.5 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:

1 303,242,155
-1 -303,242,155

Now, we try dividing 303,242,155 by 3:

303,242,155 ÷ 3 = 101,080,718.3333

If the quotient is a whole number, then 3 and 101,080,718.3333 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:

1 303,242,155
-1 -303,242,155

Let's try dividing by 4:

303,242,155 ÷ 4 = 75,810,538.75

If the quotient is a whole number, then 4 and 75,810,538.75 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:

1 303,242,155
-1 303,242,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551,3211,4816,6057,40540,95145,911204,755229,5551,956,4019,782,00560,648,431303,242,155
-1-5-31-155-1,321-1,481-6,605-7,405-40,951-45,911-204,755-229,555-1,956,401-9,782,005-60,648,431-303,242,155

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