Q: What are the factor combinations of the number 163,230,409?

 A:
Positive:   1 x 16323040973 x 2236033863 x 1891432591 x 62999
Negative: -1 x -163230409-73 x -2236033-863 x -189143-2591 x -62999


How do I find the factor combinations of the number 163,230,409?

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 163,230,409, 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.

1 163,230,409
-1 -163,230,409

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 163,230,409.

Example:
1 x 163,230,409 = 163,230,409
and
-1 x -163,230,409 = 163,230,409
Notice both answers equal 163,230,409

With that explanation out of the way, let's continue. Next, we take the number 163,230,409 and divide it by 2:

163,230,409 ÷ 2 = 81,615,204.5

If the quotient is a whole number, then 2 and 81,615,204.5 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:

1 163,230,409
-1 -163,230,409

Now, we try dividing 163,230,409 by 3:

163,230,409 ÷ 3 = 54,410,136.3333

If the quotient is a whole number, then 3 and 54,410,136.3333 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:

1 163,230,409
-1 -163,230,409

Let's try dividing by 4:

163,230,409 ÷ 4 = 40,807,602.25

If the quotient is a whole number, then 4 and 40,807,602.25 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:

1 163,230,409
-1 163,230,409
Keep dividing by the next highest number until you cannot divide anymore.

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

1738632,59162,999189,1432,236,033163,230,409
-1-73-863-2,591-62,999-189,143-2,236,033-163,230,409

More Examples

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