Q: What are the factor combinations of the number 16,302,949?

 A:
Positive:   1 x 1630294913 x 125407317 x 95899771 x 229619221 x 73769923 x 176631039 x 156911207 x 13507
Negative: -1 x -16302949-13 x -1254073-17 x -958997-71 x -229619-221 x -73769-923 x -17663-1039 x -15691-1207 x -13507


How do I find the factor combinations of the number 16,302,949?

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 16,302,949, 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 16,302,949
-1 -16,302,949

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 16,302,949.

Example:
1 x 16,302,949 = 16,302,949
and
-1 x -16,302,949 = 16,302,949
Notice both answers equal 16,302,949

With that explanation out of the way, let's continue. Next, we take the number 16,302,949 and divide it by 2:

16,302,949 ÷ 2 = 8,151,474.5

If the quotient is a whole number, then 2 and 8,151,474.5 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 16,302,949
-1 -16,302,949

Now, we try dividing 16,302,949 by 3:

16,302,949 ÷ 3 = 5,434,316.3333

If the quotient is a whole number, then 3 and 5,434,316.3333 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 16,302,949
-1 -16,302,949

Let's try dividing by 4:

16,302,949 ÷ 4 = 4,075,737.25

If the quotient is a whole number, then 4 and 4,075,737.25 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 16,302,949
-1 16,302,949
Keep dividing by the next highest number until you cannot divide anymore.

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

11317712219231,0391,20713,50715,69117,66373,769229,619958,9971,254,07316,302,949
-1-13-17-71-221-923-1,039-1,207-13,507-15,691-17,663-73,769-229,619-958,997-1,254,073-16,302,949

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