Q: What are the factor combinations of the number 303,012,445?

 A:
Positive:   1 x 3030124455 x 6060248929 x 1044870531 x 9774595145 x 2089741155 x 1954919899 x 3370554495 x 67411
Negative: -1 x -303012445-5 x -60602489-29 x -10448705-31 x -9774595-145 x -2089741-155 x -1954919-899 x -337055-4495 x -67411


How do I find the factor combinations of the number 303,012,445?

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 303,012,445, 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.

1 303,012,445
-1 -303,012,445

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 303,012,445.

Example:
1 x 303,012,445 = 303,012,445
and
-1 x -303,012,445 = 303,012,445
Notice both answers equal 303,012,445

With that explanation out of the way, let's continue. Next, we take the number 303,012,445 and divide it by 2:

303,012,445 ÷ 2 = 151,506,222.5

If the quotient is a whole number, then 2 and 151,506,222.5 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:

1 303,012,445
-1 -303,012,445

Now, we try dividing 303,012,445 by 3:

303,012,445 ÷ 3 = 101,004,148.3333

If the quotient is a whole number, then 3 and 101,004,148.3333 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:

1 303,012,445
-1 -303,012,445

Let's try dividing by 4:

303,012,445 ÷ 4 = 75,753,111.25

If the quotient is a whole number, then 4 and 75,753,111.25 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:

1 303,012,445
-1 303,012,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1529311451558994,49567,411337,0551,954,9192,089,7419,774,59510,448,70560,602,489303,012,445
-1-5-29-31-145-155-899-4,495-67,411-337,055-1,954,919-2,089,741-9,774,595-10,448,705-60,602,489-303,012,445

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