Q: What are the factor combinations of the number 16,726,655?

 A:
Positive:   1 x 167266555 x 334533111 x 152060555 x 304121179 x 93445895 x 186891699 x 98451969 x 8495
Negative: -1 x -16726655-5 x -3345331-11 x -1520605-55 x -304121-179 x -93445-895 x -18689-1699 x -9845-1969 x -8495


How do I find the factor combinations of the number 16,726,655?

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 16,726,655, 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 16,726,655
-1 -16,726,655

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 16,726,655.

Example:
1 x 16,726,655 = 16,726,655
and
-1 x -16,726,655 = 16,726,655
Notice both answers equal 16,726,655

With that explanation out of the way, let's continue. Next, we take the number 16,726,655 and divide it by 2:

16,726,655 ÷ 2 = 8,363,327.5

If the quotient is a whole number, then 2 and 8,363,327.5 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 16,726,655
-1 -16,726,655

Now, we try dividing 16,726,655 by 3:

16,726,655 ÷ 3 = 5,575,551.6667

If the quotient is a whole number, then 3 and 5,575,551.6667 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 16,726,655
-1 -16,726,655

Let's try dividing by 4:

16,726,655 ÷ 4 = 4,181,663.75

If the quotient is a whole number, then 4 and 4,181,663.75 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 16,726,655
-1 16,726,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551798951,6991,9698,4959,84518,68993,445304,1211,520,6053,345,33116,726,655
-1-5-11-55-179-895-1,699-1,969-8,495-9,845-18,689-93,445-304,121-1,520,605-3,345,331-16,726,655

More Examples

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