Q: What are the factor combinations of the number 16,340,023?

 A:
Positive:   1 x 163400237 x 2334289103 x 158641131 x 124733173 x 94451721 x 22663917 x 178191211 x 13493
Negative: -1 x -16340023-7 x -2334289-103 x -158641-131 x -124733-173 x -94451-721 x -22663-917 x -17819-1211 x -13493


How do I find the factor combinations of the number 16,340,023?

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 16,340,023, 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 16,340,023
-1 -16,340,023

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 16,340,023.

Example:
1 x 16,340,023 = 16,340,023
and
-1 x -16,340,023 = 16,340,023
Notice both answers equal 16,340,023

With that explanation out of the way, let's continue. Next, we take the number 16,340,023 and divide it by 2:

16,340,023 ÷ 2 = 8,170,011.5

If the quotient is a whole number, then 2 and 8,170,011.5 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 16,340,023
-1 -16,340,023

Now, we try dividing 16,340,023 by 3:

16,340,023 ÷ 3 = 5,446,674.3333

If the quotient is a whole number, then 3 and 5,446,674.3333 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 16,340,023
-1 -16,340,023

Let's try dividing by 4:

16,340,023 ÷ 4 = 4,085,005.75

If the quotient is a whole number, then 4 and 4,085,005.75 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 16,340,023
-1 16,340,023
Keep dividing by the next highest number until you cannot divide anymore.

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

171031311737219171,21113,49317,81922,66394,451124,733158,6412,334,28916,340,023
-1-7-103-131-173-721-917-1,211-13,493-17,819-22,663-94,451-124,733-158,641-2,334,289-16,340,023

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