Q: What are the factor combinations of the number 16,002,107?

 A:
Positive:   1 x 1600210711 x 145473731 x 516197167 x 95821281 x 56947341 x 469271837 x 87113091 x 5177
Negative: -1 x -16002107-11 x -1454737-31 x -516197-167 x -95821-281 x -56947-341 x -46927-1837 x -8711-3091 x -5177


How do I find the factor combinations of the number 16,002,107?

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 16,002,107, 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 16,002,107
-1 -16,002,107

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 16,002,107.

Example:
1 x 16,002,107 = 16,002,107
and
-1 x -16,002,107 = 16,002,107
Notice both answers equal 16,002,107

With that explanation out of the way, let's continue. Next, we take the number 16,002,107 and divide it by 2:

16,002,107 ÷ 2 = 8,001,053.5

If the quotient is a whole number, then 2 and 8,001,053.5 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 16,002,107
-1 -16,002,107

Now, we try dividing 16,002,107 by 3:

16,002,107 ÷ 3 = 5,334,035.6667

If the quotient is a whole number, then 3 and 5,334,035.6667 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 16,002,107
-1 -16,002,107

Let's try dividing by 4:

16,002,107 ÷ 4 = 4,000,526.75

If the quotient is a whole number, then 4 and 4,000,526.75 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 16,002,107
-1 16,002,107
Keep dividing by the next highest number until you cannot divide anymore.

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

111311672813411,8373,0915,1778,71146,92756,94795,821516,1971,454,73716,002,107
-1-11-31-167-281-341-1,837-3,091-5,177-8,711-46,927-56,947-95,821-516,197-1,454,737-16,002,107

More Examples

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