Q: What are the factor combinations of the number 16,000,663?

 A:
Positive:   1 x 160006637 x 228580923 x 69568129 x 551747149 x 107387161 x 99383203 x 78821529 x 30247667 x 239891043 x 153413427 x 46693703 x 4321
Negative: -1 x -16000663-7 x -2285809-23 x -695681-29 x -551747-149 x -107387-161 x -99383-203 x -78821-529 x -30247-667 x -23989-1043 x -15341-3427 x -4669-3703 x -4321


How do I find the factor combinations of the number 16,000,663?

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 16,000,663, 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 16,000,663
-1 -16,000,663

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 16,000,663.

Example:
1 x 16,000,663 = 16,000,663
and
-1 x -16,000,663 = 16,000,663
Notice both answers equal 16,000,663

With that explanation out of the way, let's continue. Next, we take the number 16,000,663 and divide it by 2:

16,000,663 ÷ 2 = 8,000,331.5

If the quotient is a whole number, then 2 and 8,000,331.5 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 16,000,663
-1 -16,000,663

Now, we try dividing 16,000,663 by 3:

16,000,663 ÷ 3 = 5,333,554.3333

If the quotient is a whole number, then 3 and 5,333,554.3333 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 16,000,663
-1 -16,000,663

Let's try dividing by 4:

16,000,663 ÷ 4 = 4,000,165.75

If the quotient is a whole number, then 4 and 4,000,165.75 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 16,000,663
-1 16,000,663
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291491612035296671,0433,4273,7034,3214,66915,34123,98930,24778,82199,383107,387551,747695,6812,285,80916,000,663
-1-7-23-29-149-161-203-529-667-1,043-3,427-3,703-4,321-4,669-15,341-23,989-30,247-78,821-99,383-107,387-551,747-695,681-2,285,809-16,000,663

More Examples

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