Q: What are the factor combinations of the number 313,042,433?

 A:
Positive:   1 x 31304243311 x 2845840331 x 1009814353 x 5906461341 x 918013583 x 5369511643 x 19053117321 x 18073
Negative: -1 x -313042433-11 x -28458403-31 x -10098143-53 x -5906461-341 x -918013-583 x -536951-1643 x -190531-17321 x -18073


How do I find the factor combinations of the number 313,042,433?

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 313,042,433, 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.

1 313,042,433
-1 -313,042,433

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 313,042,433.

Example:
1 x 313,042,433 = 313,042,433
and
-1 x -313,042,433 = 313,042,433
Notice both answers equal 313,042,433

With that explanation out of the way, let's continue. Next, we take the number 313,042,433 and divide it by 2:

313,042,433 ÷ 2 = 156,521,216.5

If the quotient is a whole number, then 2 and 156,521,216.5 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:

1 313,042,433
-1 -313,042,433

Now, we try dividing 313,042,433 by 3:

313,042,433 ÷ 3 = 104,347,477.6667

If the quotient is a whole number, then 3 and 104,347,477.6667 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:

1 313,042,433
-1 -313,042,433

Let's try dividing by 4:

313,042,433 ÷ 4 = 78,260,608.25

If the quotient is a whole number, then 4 and 78,260,608.25 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:

1 313,042,433
-1 313,042,433
Keep dividing by the next highest number until you cannot divide anymore.

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

11131533415831,64317,32118,073190,531536,951918,0135,906,46110,098,14328,458,403313,042,433
-1-11-31-53-341-583-1,643-17,321-18,073-190,531-536,951-918,013-5,906,461-10,098,143-28,458,403-313,042,433

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