Q: What are the factor combinations of the number 163,244,207?

 A:
Positive:   1 x 1632442077 x 2332060147 x 3473281113 x 1444639329 x 496183791 x 2063774391 x 371775311 x 30737
Negative: -1 x -163244207-7 x -23320601-47 x -3473281-113 x -1444639-329 x -496183-791 x -206377-4391 x -37177-5311 x -30737


How do I find the factor combinations of the number 163,244,207?

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 163,244,207, 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.

1 163,244,207
-1 -163,244,207

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 163,244,207.

Example:
1 x 163,244,207 = 163,244,207
and
-1 x -163,244,207 = 163,244,207
Notice both answers equal 163,244,207

With that explanation out of the way, let's continue. Next, we take the number 163,244,207 and divide it by 2:

163,244,207 ÷ 2 = 81,622,103.5

If the quotient is a whole number, then 2 and 81,622,103.5 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:

1 163,244,207
-1 -163,244,207

Now, we try dividing 163,244,207 by 3:

163,244,207 ÷ 3 = 54,414,735.6667

If the quotient is a whole number, then 3 and 54,414,735.6667 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:

1 163,244,207
-1 -163,244,207

Let's try dividing by 4:

163,244,207 ÷ 4 = 40,811,051.75

If the quotient is a whole number, then 4 and 40,811,051.75 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:

1 163,244,207
-1 163,244,207
Keep dividing by the next highest number until you cannot divide anymore.

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

17471133297914,3915,31130,73737,177206,377496,1831,444,6393,473,28123,320,601163,244,207
-1-7-47-113-329-791-4,391-5,311-30,737-37,177-206,377-496,183-1,444,639-3,473,281-23,320,601-163,244,207

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