Q: What are the factor combinations of the number 14,694,097?

 A:
Positive:   1 x 1469409711 x 133582729 x 50669373 x 201289319 x 46063631 x 23287803 x 182992117 x 6941
Negative: -1 x -14694097-11 x -1335827-29 x -506693-73 x -201289-319 x -46063-631 x -23287-803 x -18299-2117 x -6941


How do I find the factor combinations of the number 14,694,097?

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 14,694,097, 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 14,694,097
-1 -14,694,097

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 14,694,097.

Example:
1 x 14,694,097 = 14,694,097
and
-1 x -14,694,097 = 14,694,097
Notice both answers equal 14,694,097

With that explanation out of the way, let's continue. Next, we take the number 14,694,097 and divide it by 2:

14,694,097 ÷ 2 = 7,347,048.5

If the quotient is a whole number, then 2 and 7,347,048.5 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 14,694,097
-1 -14,694,097

Now, we try dividing 14,694,097 by 3:

14,694,097 ÷ 3 = 4,898,032.3333

If the quotient is a whole number, then 3 and 4,898,032.3333 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 14,694,097
-1 -14,694,097

Let's try dividing by 4:

14,694,097 ÷ 4 = 3,673,524.25

If the quotient is a whole number, then 4 and 3,673,524.25 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 14,694,097
-1 14,694,097
Keep dividing by the next highest number until you cannot divide anymore.

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

11129733196318032,1176,94118,29923,28746,063201,289506,6931,335,82714,694,097
-1-11-29-73-319-631-803-2,117-6,941-18,299-23,287-46,063-201,289-506,693-1,335,827-14,694,097

More Examples

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