Q: What are the factor combinations of the number 163,554,329?

 A:
Positive:   1 x 163554329211 x 775139607 x 2694471277 x 128077
Negative: -1 x -163554329-211 x -775139-607 x -269447-1277 x -128077


How do I find the factor combinations of the number 163,554,329?

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 163,554,329, 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.

1 163,554,329
-1 -163,554,329

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 163,554,329.

Example:
1 x 163,554,329 = 163,554,329
and
-1 x -163,554,329 = 163,554,329
Notice both answers equal 163,554,329

With that explanation out of the way, let's continue. Next, we take the number 163,554,329 and divide it by 2:

163,554,329 ÷ 2 = 81,777,164.5

If the quotient is a whole number, then 2 and 81,777,164.5 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:

1 163,554,329
-1 -163,554,329

Now, we try dividing 163,554,329 by 3:

163,554,329 ÷ 3 = 54,518,109.6667

If the quotient is a whole number, then 3 and 54,518,109.6667 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:

1 163,554,329
-1 -163,554,329

Let's try dividing by 4:

163,554,329 ÷ 4 = 40,888,582.25

If the quotient is a whole number, then 4 and 40,888,582.25 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:

1 163,554,329
-1 163,554,329
Keep dividing by the next highest number until you cannot divide anymore.

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

12116071,277128,077269,447775,139163,554,329
-1-211-607-1,277-128,077-269,447-775,139-163,554,329

More Examples

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