Q: What are the factor combinations of the number 304,622,035?

 A:
Positive:   1 x 3046220355 x 6092440783 x 3670145415 x 734029499 x 6104651471 x 2070852495 x 1220937355 x 41417
Negative: -1 x -304622035-5 x -60924407-83 x -3670145-415 x -734029-499 x -610465-1471 x -207085-2495 x -122093-7355 x -41417


How do I find the factor combinations of the number 304,622,035?

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 304,622,035, 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.

1 304,622,035
-1 -304,622,035

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 304,622,035.

Example:
1 x 304,622,035 = 304,622,035
and
-1 x -304,622,035 = 304,622,035
Notice both answers equal 304,622,035

With that explanation out of the way, let's continue. Next, we take the number 304,622,035 and divide it by 2:

304,622,035 ÷ 2 = 152,311,017.5

If the quotient is a whole number, then 2 and 152,311,017.5 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:

1 304,622,035
-1 -304,622,035

Now, we try dividing 304,622,035 by 3:

304,622,035 ÷ 3 = 101,540,678.3333

If the quotient is a whole number, then 3 and 101,540,678.3333 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:

1 304,622,035
-1 -304,622,035

Let's try dividing by 4:

304,622,035 ÷ 4 = 76,155,508.75

If the quotient is a whole number, then 4 and 76,155,508.75 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:

1 304,622,035
-1 304,622,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15834154991,4712,4957,35541,417122,093207,085610,465734,0293,670,14560,924,407304,622,035
-1-5-83-415-499-1,471-2,495-7,355-41,417-122,093-207,085-610,465-734,029-3,670,145-60,924,407-304,622,035

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