Q: What are the factor combinations of the number 163,300,045?

 A:
Positive:   1 x 1633000455 x 3266000917 x 960588585 x 1921177
Negative: -1 x -163300045-5 x -32660009-17 x -9605885-85 x -1921177


How do I find the factor combinations of the number 163,300,045?

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 163,300,045, 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.

1 163,300,045
-1 -163,300,045

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 163,300,045.

Example:
1 x 163,300,045 = 163,300,045
and
-1 x -163,300,045 = 163,300,045
Notice both answers equal 163,300,045

With that explanation out of the way, let's continue. Next, we take the number 163,300,045 and divide it by 2:

163,300,045 ÷ 2 = 81,650,022.5

If the quotient is a whole number, then 2 and 81,650,022.5 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:

1 163,300,045
-1 -163,300,045

Now, we try dividing 163,300,045 by 3:

163,300,045 ÷ 3 = 54,433,348.3333

If the quotient is a whole number, then 3 and 54,433,348.3333 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:

1 163,300,045
-1 -163,300,045

Let's try dividing by 4:

163,300,045 ÷ 4 = 40,825,011.25

If the quotient is a whole number, then 4 and 40,825,011.25 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:

1 163,300,045
-1 163,300,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,921,1779,605,88532,660,009163,300,045
-1-5-17-85-1,921,177-9,605,885-32,660,009-163,300,045

More Examples

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