Q: What are the factor combinations of the number 163,323,553?

 A:
Positive:   1 x 163323553601 x 271753
Negative: -1 x -163323553-601 x -271753


How do I find the factor combinations of the number 163,323,553?

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 163,323,553, 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.

1 163,323,553
-1 -163,323,553

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 163,323,553.

Example:
1 x 163,323,553 = 163,323,553
and
-1 x -163,323,553 = 163,323,553
Notice both answers equal 163,323,553

With that explanation out of the way, let's continue. Next, we take the number 163,323,553 and divide it by 2:

163,323,553 ÷ 2 = 81,661,776.5

If the quotient is a whole number, then 2 and 81,661,776.5 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:

1 163,323,553
-1 -163,323,553

Now, we try dividing 163,323,553 by 3:

163,323,553 ÷ 3 = 54,441,184.3333

If the quotient is a whole number, then 3 and 54,441,184.3333 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:

1 163,323,553
-1 -163,323,553

Let's try dividing by 4:

163,323,553 ÷ 4 = 40,830,888.25

If the quotient is a whole number, then 4 and 40,830,888.25 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:

1 163,323,553
-1 163,323,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1601271,753163,323,553
-1-601-271,753-163,323,553

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 163,323,553:


Ask a Question