Q: What are the factor combinations of the number 14,091,985?

 A:
Positive:   1 x 140919855 x 281839723 x 612695115 x 122539283 x 49795433 x 325451415 x 99592165 x 6509
Negative: -1 x -14091985-5 x -2818397-23 x -612695-115 x -122539-283 x -49795-433 x -32545-1415 x -9959-2165 x -6509


How do I find the factor combinations of the number 14,091,985?

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 14,091,985, 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 14,091,985
-1 -14,091,985

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 14,091,985.

Example:
1 x 14,091,985 = 14,091,985
and
-1 x -14,091,985 = 14,091,985
Notice both answers equal 14,091,985

With that explanation out of the way, let's continue. Next, we take the number 14,091,985 and divide it by 2:

14,091,985 ÷ 2 = 7,045,992.5

If the quotient is a whole number, then 2 and 7,045,992.5 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 14,091,985
-1 -14,091,985

Now, we try dividing 14,091,985 by 3:

14,091,985 ÷ 3 = 4,697,328.3333

If the quotient is a whole number, then 3 and 4,697,328.3333 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 14,091,985
-1 -14,091,985

Let's try dividing by 4:

14,091,985 ÷ 4 = 3,522,996.25

If the quotient is a whole number, then 4 and 3,522,996.25 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 14,091,985
-1 14,091,985
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152834331,4152,1656,5099,95932,54549,795122,539612,6952,818,39714,091,985
-1-5-23-115-283-433-1,415-2,165-6,509-9,959-32,545-49,795-122,539-612,695-2,818,397-14,091,985

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