Q: What are the factor combinations of the number 343,424,323?

 A:
Positive:   1 x 34342432311 x 3122039341 x 8376203277 x 1239799451 x 7614732749 x 1249273047 x 11270911357 x 30239
Negative: -1 x -343424323-11 x -31220393-41 x -8376203-277 x -1239799-451 x -761473-2749 x -124927-3047 x -112709-11357 x -30239


How do I find the factor combinations of the number 343,424,323?

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 343,424,323, 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.

1 343,424,323
-1 -343,424,323

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 343,424,323.

Example:
1 x 343,424,323 = 343,424,323
and
-1 x -343,424,323 = 343,424,323
Notice both answers equal 343,424,323

With that explanation out of the way, let's continue. Next, we take the number 343,424,323 and divide it by 2:

343,424,323 ÷ 2 = 171,712,161.5

If the quotient is a whole number, then 2 and 171,712,161.5 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:

1 343,424,323
-1 -343,424,323

Now, we try dividing 343,424,323 by 3:

343,424,323 ÷ 3 = 114,474,774.3333

If the quotient is a whole number, then 3 and 114,474,774.3333 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:

1 343,424,323
-1 -343,424,323

Let's try dividing by 4:

343,424,323 ÷ 4 = 85,856,080.75

If the quotient is a whole number, then 4 and 85,856,080.75 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:

1 343,424,323
-1 343,424,323
Keep dividing by the next highest number until you cannot divide anymore.

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

111412774512,7493,04711,35730,239112,709124,927761,4731,239,7998,376,20331,220,393343,424,323
-1-11-41-277-451-2,749-3,047-11,357-30,239-112,709-124,927-761,473-1,239,799-8,376,203-31,220,393-343,424,323

More Examples

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