Q: What are the factor combinations of the number 163,530,473?

 A:
Positive:   1 x 16353047319 x 8606867317 x 515869361 x 4529931429 x 1144376023 x 27151
Negative: -1 x -163530473-19 x -8606867-317 x -515869-361 x -452993-1429 x -114437-6023 x -27151


How do I find the factor combinations of the number 163,530,473?

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 163,530,473, 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.

1 163,530,473
-1 -163,530,473

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 163,530,473.

Example:
1 x 163,530,473 = 163,530,473
and
-1 x -163,530,473 = 163,530,473
Notice both answers equal 163,530,473

With that explanation out of the way, let's continue. Next, we take the number 163,530,473 and divide it by 2:

163,530,473 ÷ 2 = 81,765,236.5

If the quotient is a whole number, then 2 and 81,765,236.5 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:

1 163,530,473
-1 -163,530,473

Now, we try dividing 163,530,473 by 3:

163,530,473 ÷ 3 = 54,510,157.6667

If the quotient is a whole number, then 3 and 54,510,157.6667 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:

1 163,530,473
-1 -163,530,473

Let's try dividing by 4:

163,530,473 ÷ 4 = 40,882,618.25

If the quotient is a whole number, then 4 and 40,882,618.25 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:

1 163,530,473
-1 163,530,473
Keep dividing by the next highest number until you cannot divide anymore.

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

1193173611,4296,02327,151114,437452,993515,8698,606,867163,530,473
-1-19-317-361-1,429-6,023-27,151-114,437-452,993-515,869-8,606,867-163,530,473

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