Q: What are the factor combinations of the number 342,323,399?

 A:
Positive:   1 x 34232339911 x 3112030919 x 1801702161 x 5611859121 x 2829119209 x 1637911671 x 5101691159 x 2953612299 x 1489012441 x 1402397381 x 4637912749 x 26851
Negative: -1 x -342323399-11 x -31120309-19 x -18017021-61 x -5611859-121 x -2829119-209 x -1637911-671 x -510169-1159 x -295361-2299 x -148901-2441 x -140239-7381 x -46379-12749 x -26851


How do I find the factor combinations of the number 342,323,399?

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 342,323,399, 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.

1 342,323,399
-1 -342,323,399

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 342,323,399.

Example:
1 x 342,323,399 = 342,323,399
and
-1 x -342,323,399 = 342,323,399
Notice both answers equal 342,323,399

With that explanation out of the way, let's continue. Next, we take the number 342,323,399 and divide it by 2:

342,323,399 ÷ 2 = 171,161,699.5

If the quotient is a whole number, then 2 and 171,161,699.5 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:

1 342,323,399
-1 -342,323,399

Now, we try dividing 342,323,399 by 3:

342,323,399 ÷ 3 = 114,107,799.6667

If the quotient is a whole number, then 3 and 114,107,799.6667 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:

1 342,323,399
-1 -342,323,399

Let's try dividing by 4:

342,323,399 ÷ 4 = 85,580,849.75

If the quotient is a whole number, then 4 and 85,580,849.75 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:

1 342,323,399
-1 342,323,399
Keep dividing by the next highest number until you cannot divide anymore.

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

11119611212096711,1592,2992,4417,38112,74926,85146,379140,239148,901295,361510,1691,637,9112,829,1195,611,85918,017,02131,120,309342,323,399
-1-11-19-61-121-209-671-1,159-2,299-2,441-7,381-12,749-26,851-46,379-140,239-148,901-295,361-510,169-1,637,911-2,829,119-5,611,859-18,017,021-31,120,309-342,323,399

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