Q: What are the factor combinations of the number 163,221,539?

 A:
Positive:   1 x 16322153913 x 1255550317 x 9601267221 x 738559509 x 3206711451 x 1124896617 x 246678653 x 18863
Negative: -1 x -163221539-13 x -12555503-17 x -9601267-221 x -738559-509 x -320671-1451 x -112489-6617 x -24667-8653 x -18863


How do I find the factor combinations of the number 163,221,539?

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 163,221,539, 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.

1 163,221,539
-1 -163,221,539

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 163,221,539.

Example:
1 x 163,221,539 = 163,221,539
and
-1 x -163,221,539 = 163,221,539
Notice both answers equal 163,221,539

With that explanation out of the way, let's continue. Next, we take the number 163,221,539 and divide it by 2:

163,221,539 ÷ 2 = 81,610,769.5

If the quotient is a whole number, then 2 and 81,610,769.5 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:

1 163,221,539
-1 -163,221,539

Now, we try dividing 163,221,539 by 3:

163,221,539 ÷ 3 = 54,407,179.6667

If the quotient is a whole number, then 3 and 54,407,179.6667 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:

1 163,221,539
-1 -163,221,539

Let's try dividing by 4:

163,221,539 ÷ 4 = 40,805,384.75

If the quotient is a whole number, then 4 and 40,805,384.75 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:

1 163,221,539
-1 163,221,539
Keep dividing by the next highest number until you cannot divide anymore.

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

113172215091,4516,6178,65318,86324,667112,489320,671738,5599,601,26712,555,503163,221,539
-1-13-17-221-509-1,451-6,617-8,653-18,863-24,667-112,489-320,671-738,559-9,601,267-12,555,503-163,221,539

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