Q: What are the factor combinations of the number 341,621,333?

 A:
Positive:   1 x 34162133331 x 1102004337 x 923300947 x 72685391147 x 2978391457 x 2344691739 x 1964476337 x 53909
Negative: -1 x -341621333-31 x -11020043-37 x -9233009-47 x -7268539-1147 x -297839-1457 x -234469-1739 x -196447-6337 x -53909


How do I find the factor combinations of the number 341,621,333?

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 341,621,333, 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.

1 341,621,333
-1 -341,621,333

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 341,621,333.

Example:
1 x 341,621,333 = 341,621,333
and
-1 x -341,621,333 = 341,621,333
Notice both answers equal 341,621,333

With that explanation out of the way, let's continue. Next, we take the number 341,621,333 and divide it by 2:

341,621,333 ÷ 2 = 170,810,666.5

If the quotient is a whole number, then 2 and 170,810,666.5 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:

1 341,621,333
-1 -341,621,333

Now, we try dividing 341,621,333 by 3:

341,621,333 ÷ 3 = 113,873,777.6667

If the quotient is a whole number, then 3 and 113,873,777.6667 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:

1 341,621,333
-1 -341,621,333

Let's try dividing by 4:

341,621,333 ÷ 4 = 85,405,333.25

If the quotient is a whole number, then 4 and 85,405,333.25 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:

1 341,621,333
-1 341,621,333
Keep dividing by the next highest number until you cannot divide anymore.

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

13137471,1471,4571,7396,33753,909196,447234,469297,8397,268,5399,233,00911,020,043341,621,333
-1-31-37-47-1,147-1,457-1,739-6,337-53,909-196,447-234,469-297,839-7,268,539-9,233,009-11,020,043-341,621,333

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