Q: What are the factor combinations of the number 14,490,485?

 A:
Positive:   1 x 144904855 x 289809731 x 467435155 x 93487
Negative: -1 x -14490485-5 x -2898097-31 x -467435-155 x -93487


How do I find the factor combinations of the number 14,490,485?

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 14,490,485, 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 14,490,485
-1 -14,490,485

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 14,490,485.

Example:
1 x 14,490,485 = 14,490,485
and
-1 x -14,490,485 = 14,490,485
Notice both answers equal 14,490,485

With that explanation out of the way, let's continue. Next, we take the number 14,490,485 and divide it by 2:

14,490,485 ÷ 2 = 7,245,242.5

If the quotient is a whole number, then 2 and 7,245,242.5 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 14,490,485
-1 -14,490,485

Now, we try dividing 14,490,485 by 3:

14,490,485 ÷ 3 = 4,830,161.6667

If the quotient is a whole number, then 3 and 4,830,161.6667 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 14,490,485
-1 -14,490,485

Let's try dividing by 4:

14,490,485 ÷ 4 = 3,622,621.25

If the quotient is a whole number, then 4 and 3,622,621.25 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 14,490,485
-1 14,490,485
Keep dividing by the next highest number until you cannot divide anymore.

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

153115593,487467,4352,898,09714,490,485
-1-5-31-155-93,487-467,435-2,898,097-14,490,485

More Examples

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