Q: What are the factor combinations of the number 163,303,123?

 A:
Positive:   1 x 16330312341 x 398300353 x 3081191223 x 732301337 x 4845792173 x 751519143 x 1786111819 x 13817
Negative: -1 x -163303123-41 x -3983003-53 x -3081191-223 x -732301-337 x -484579-2173 x -75151-9143 x -17861-11819 x -13817


How do I find the factor combinations of the number 163,303,123?

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 163,303,123, 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.

1 163,303,123
-1 -163,303,123

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 163,303,123.

Example:
1 x 163,303,123 = 163,303,123
and
-1 x -163,303,123 = 163,303,123
Notice both answers equal 163,303,123

With that explanation out of the way, let's continue. Next, we take the number 163,303,123 and divide it by 2:

163,303,123 ÷ 2 = 81,651,561.5

If the quotient is a whole number, then 2 and 81,651,561.5 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:

1 163,303,123
-1 -163,303,123

Now, we try dividing 163,303,123 by 3:

163,303,123 ÷ 3 = 54,434,374.3333

If the quotient is a whole number, then 3 and 54,434,374.3333 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:

1 163,303,123
-1 -163,303,123

Let's try dividing by 4:

163,303,123 ÷ 4 = 40,825,780.75

If the quotient is a whole number, then 4 and 40,825,780.75 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:

1 163,303,123
-1 163,303,123
Keep dividing by the next highest number until you cannot divide anymore.

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

141532233372,1739,14311,81913,81717,86175,151484,579732,3013,081,1913,983,003163,303,123
-1-41-53-223-337-2,173-9,143-11,819-13,817-17,861-75,151-484,579-732,301-3,081,191-3,983,003-163,303,123

More Examples

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