Q: What are the factor combinations of the number 16,743,655?

 A:
Positive:   1 x 167436555 x 334873119 x 88124523 x 72798579 x 21194595 x 17624997 x 172615115 x 145597395 x 42389437 x 38315485 x 345231501 x 111551817 x 92151843 x 90852185 x 76632231 x 7505
Negative: -1 x -16743655-5 x -3348731-19 x -881245-23 x -727985-79 x -211945-95 x -176249-97 x -172615-115 x -145597-395 x -42389-437 x -38315-485 x -34523-1501 x -11155-1817 x -9215-1843 x -9085-2185 x -7663-2231 x -7505


How do I find the factor combinations of the number 16,743,655?

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 16,743,655, 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 16,743,655
-1 -16,743,655

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 16,743,655.

Example:
1 x 16,743,655 = 16,743,655
and
-1 x -16,743,655 = 16,743,655
Notice both answers equal 16,743,655

With that explanation out of the way, let's continue. Next, we take the number 16,743,655 and divide it by 2:

16,743,655 ÷ 2 = 8,371,827.5

If the quotient is a whole number, then 2 and 8,371,827.5 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 16,743,655
-1 -16,743,655

Now, we try dividing 16,743,655 by 3:

16,743,655 ÷ 3 = 5,581,218.3333

If the quotient is a whole number, then 3 and 5,581,218.3333 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 16,743,655
-1 -16,743,655

Let's try dividing by 4:

16,743,655 ÷ 4 = 4,185,913.75

If the quotient is a whole number, then 4 and 4,185,913.75 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 16,743,655
-1 16,743,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1519237995971153954374851,5011,8171,8432,1852,2317,5057,6639,0859,21511,15534,52338,31542,389145,597172,615176,249211,945727,985881,2453,348,73116,743,655
-1-5-19-23-79-95-97-115-395-437-485-1,501-1,817-1,843-2,185-2,231-7,505-7,663-9,085-9,215-11,155-34,523-38,315-42,389-145,597-172,615-176,249-211,945-727,985-881,245-3,348,731-16,743,655

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