Q: What are the factor combinations of the number 16,821,077?

 A:
Positive:   1 x 168210777 x 240301113 x 129392959 x 28510391 x 184847169 x 99533241 x 69797413 x 40729767 x 219311183 x 142191687 x 99713133 x 5369
Negative: -1 x -16821077-7 x -2403011-13 x -1293929-59 x -285103-91 x -184847-169 x -99533-241 x -69797-413 x -40729-767 x -21931-1183 x -14219-1687 x -9971-3133 x -5369


How do I find the factor combinations of the number 16,821,077?

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 16,821,077, 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 16,821,077
-1 -16,821,077

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 16,821,077.

Example:
1 x 16,821,077 = 16,821,077
and
-1 x -16,821,077 = 16,821,077
Notice both answers equal 16,821,077

With that explanation out of the way, let's continue. Next, we take the number 16,821,077 and divide it by 2:

16,821,077 ÷ 2 = 8,410,538.5

If the quotient is a whole number, then 2 and 8,410,538.5 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 16,821,077
-1 -16,821,077

Now, we try dividing 16,821,077 by 3:

16,821,077 ÷ 3 = 5,607,025.6667

If the quotient is a whole number, then 3 and 5,607,025.6667 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 16,821,077
-1 -16,821,077

Let's try dividing by 4:

16,821,077 ÷ 4 = 4,205,269.25

If the quotient is a whole number, then 4 and 4,205,269.25 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 16,821,077
-1 16,821,077
Keep dividing by the next highest number until you cannot divide anymore.

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

171359911692414137671,1831,6873,1335,3699,97114,21921,93140,72969,79799,533184,847285,1031,293,9292,403,01116,821,077
-1-7-13-59-91-169-241-413-767-1,183-1,687-3,133-5,369-9,971-14,219-21,931-40,729-69,797-99,533-184,847-285,103-1,293,929-2,403,011-16,821,077

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