Q: What are the factor combinations of the number 163,246,343?

 A:
Positive:   1 x 16324634313 x 125574113137 x 520394003 x 40781
Negative: -1 x -163246343-13 x -12557411-3137 x -52039-4003 x -40781


How do I find the factor combinations of the number 163,246,343?

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 163,246,343, 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.

1 163,246,343
-1 -163,246,343

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 163,246,343.

Example:
1 x 163,246,343 = 163,246,343
and
-1 x -163,246,343 = 163,246,343
Notice both answers equal 163,246,343

With that explanation out of the way, let's continue. Next, we take the number 163,246,343 and divide it by 2:

163,246,343 ÷ 2 = 81,623,171.5

If the quotient is a whole number, then 2 and 81,623,171.5 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:

1 163,246,343
-1 -163,246,343

Now, we try dividing 163,246,343 by 3:

163,246,343 ÷ 3 = 54,415,447.6667

If the quotient is a whole number, then 3 and 54,415,447.6667 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:

1 163,246,343
-1 -163,246,343

Let's try dividing by 4:

163,246,343 ÷ 4 = 40,811,585.75

If the quotient is a whole number, then 4 and 40,811,585.75 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:

1 163,246,343
-1 163,246,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1133,1374,00340,78152,03912,557,411163,246,343
-1-13-3,137-4,003-40,781-52,039-12,557,411-163,246,343

More Examples

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