Q: What are the factor combinations of the number 14,678,485?

 A:
Positive:   1 x 146784855 x 293569723 x 638195109 x 134665115 x 127639545 x 269331171 x 125352507 x 5855
Negative: -1 x -14678485-5 x -2935697-23 x -638195-109 x -134665-115 x -127639-545 x -26933-1171 x -12535-2507 x -5855


How do I find the factor combinations of the number 14,678,485?

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 14,678,485, 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 14,678,485
-1 -14,678,485

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 14,678,485.

Example:
1 x 14,678,485 = 14,678,485
and
-1 x -14,678,485 = 14,678,485
Notice both answers equal 14,678,485

With that explanation out of the way, let's continue. Next, we take the number 14,678,485 and divide it by 2:

14,678,485 ÷ 2 = 7,339,242.5

If the quotient is a whole number, then 2 and 7,339,242.5 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 14,678,485
-1 -14,678,485

Now, we try dividing 14,678,485 by 3:

14,678,485 ÷ 3 = 4,892,828.3333

If the quotient is a whole number, then 3 and 4,892,828.3333 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 14,678,485
-1 -14,678,485

Let's try dividing by 4:

14,678,485 ÷ 4 = 3,669,621.25

If the quotient is a whole number, then 4 and 3,669,621.25 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 14,678,485
-1 14,678,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15231091155451,1712,5075,85512,53526,933127,639134,665638,1952,935,69714,678,485
-1-5-23-109-115-545-1,171-2,507-5,855-12,535-26,933-127,639-134,665-638,195-2,935,697-14,678,485

More Examples

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