Q: What are the factor combinations of the number 365,031,323?

 A:
Positive:   1 x 36503132329 x 1258728741 x 8903203337 x 1083179911 x 4006931189 x 3070079773 x 3735113817 x 26419
Negative: -1 x -365031323-29 x -12587287-41 x -8903203-337 x -1083179-911 x -400693-1189 x -307007-9773 x -37351-13817 x -26419


How do I find the factor combinations of the number 365,031,323?

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 365,031,323, 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.

1 365,031,323
-1 -365,031,323

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 365,031,323.

Example:
1 x 365,031,323 = 365,031,323
and
-1 x -365,031,323 = 365,031,323
Notice both answers equal 365,031,323

With that explanation out of the way, let's continue. Next, we take the number 365,031,323 and divide it by 2:

365,031,323 ÷ 2 = 182,515,661.5

If the quotient is a whole number, then 2 and 182,515,661.5 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:

1 365,031,323
-1 -365,031,323

Now, we try dividing 365,031,323 by 3:

365,031,323 ÷ 3 = 121,677,107.6667

If the quotient is a whole number, then 3 and 121,677,107.6667 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:

1 365,031,323
-1 -365,031,323

Let's try dividing by 4:

365,031,323 ÷ 4 = 91,257,830.75

If the quotient is a whole number, then 4 and 91,257,830.75 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:

1 365,031,323
-1 365,031,323
Keep dividing by the next highest number until you cannot divide anymore.

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

129413379111,1899,77313,81726,41937,351307,007400,6931,083,1798,903,20312,587,287365,031,323
-1-29-41-337-911-1,189-9,773-13,817-26,419-37,351-307,007-400,693-1,083,179-8,903,203-12,587,287-365,031,323

More Examples

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