Q: What are the factor combinations of the number 400,600,343?

 A:
Positive:   1 x 40060034311 x 3641821313 x 30815411143 x 2801401
Negative: -1 x -400600343-11 x -36418213-13 x -30815411-143 x -2801401


How do I find the factor combinations of the number 400,600,343?

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 400,600,343, 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.

1 400,600,343
-1 -400,600,343

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 400,600,343.

Example:
1 x 400,600,343 = 400,600,343
and
-1 x -400,600,343 = 400,600,343
Notice both answers equal 400,600,343

With that explanation out of the way, let's continue. Next, we take the number 400,600,343 and divide it by 2:

400,600,343 ÷ 2 = 200,300,171.5

If the quotient is a whole number, then 2 and 200,300,171.5 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:

1 400,600,343
-1 -400,600,343

Now, we try dividing 400,600,343 by 3:

400,600,343 ÷ 3 = 133,533,447.6667

If the quotient is a whole number, then 3 and 133,533,447.6667 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:

1 400,600,343
-1 -400,600,343

Let's try dividing by 4:

400,600,343 ÷ 4 = 100,150,085.75

If the quotient is a whole number, then 4 and 100,150,085.75 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:

1 400,600,343
-1 400,600,343
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432,801,40130,815,41136,418,213400,600,343
-1-11-13-143-2,801,401-30,815,411-36,418,213-400,600,343

More Examples

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