Q: What are the factor combinations of the number 17,812,823?

 A:
Positive:   1 x 178128237 x 254468919 x 93751749 x 36352753 x 336091133 x 133931361 x 49343371 x 48013931 x 191331007 x 176892527 x 70492597 x 6859
Negative: -1 x -17812823-7 x -2544689-19 x -937517-49 x -363527-53 x -336091-133 x -133931-361 x -49343-371 x -48013-931 x -19133-1007 x -17689-2527 x -7049-2597 x -6859


How do I find the factor combinations of the number 17,812,823?

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 17,812,823, 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 17,812,823
-1 -17,812,823

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 17,812,823.

Example:
1 x 17,812,823 = 17,812,823
and
-1 x -17,812,823 = 17,812,823
Notice both answers equal 17,812,823

With that explanation out of the way, let's continue. Next, we take the number 17,812,823 and divide it by 2:

17,812,823 ÷ 2 = 8,906,411.5

If the quotient is a whole number, then 2 and 8,906,411.5 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 17,812,823
-1 -17,812,823

Now, we try dividing 17,812,823 by 3:

17,812,823 ÷ 3 = 5,937,607.6667

If the quotient is a whole number, then 3 and 5,937,607.6667 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 17,812,823
-1 -17,812,823

Let's try dividing by 4:

17,812,823 ÷ 4 = 4,453,205.75

If the quotient is a whole number, then 4 and 4,453,205.75 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 17,812,823
-1 17,812,823
Keep dividing by the next highest number until you cannot divide anymore.

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

171949531333613719311,0072,5272,5976,8597,04917,68919,13348,01349,343133,931336,091363,527937,5172,544,68917,812,823
-1-7-19-49-53-133-361-371-931-1,007-2,527-2,597-6,859-7,049-17,689-19,133-48,013-49,343-133,931-336,091-363,527-937,517-2,544,689-17,812,823

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