Q: What are the factor combinations of the number 308,410,333?

 A:
Positive:   1 x 3084103337 x 4405861911 x 2803730377 x 4005329193 x 15979811351 x 2282832123 x 14527114861 x 20753
Negative: -1 x -308410333-7 x -44058619-11 x -28037303-77 x -4005329-193 x -1597981-1351 x -228283-2123 x -145271-14861 x -20753


How do I find the factor combinations of the number 308,410,333?

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 308,410,333, 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.

1 308,410,333
-1 -308,410,333

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 308,410,333.

Example:
1 x 308,410,333 = 308,410,333
and
-1 x -308,410,333 = 308,410,333
Notice both answers equal 308,410,333

With that explanation out of the way, let's continue. Next, we take the number 308,410,333 and divide it by 2:

308,410,333 ÷ 2 = 154,205,166.5

If the quotient is a whole number, then 2 and 154,205,166.5 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:

1 308,410,333
-1 -308,410,333

Now, we try dividing 308,410,333 by 3:

308,410,333 ÷ 3 = 102,803,444.3333

If the quotient is a whole number, then 3 and 102,803,444.3333 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:

1 308,410,333
-1 -308,410,333

Let's try dividing by 4:

308,410,333 ÷ 4 = 77,102,583.25

If the quotient is a whole number, then 4 and 77,102,583.25 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:

1 308,410,333
-1 308,410,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771931,3512,12314,86120,753145,271228,2831,597,9814,005,32928,037,30344,058,619308,410,333
-1-7-11-77-193-1,351-2,123-14,861-20,753-145,271-228,283-1,597,981-4,005,329-28,037,303-44,058,619-308,410,333

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