Q: What are the factor combinations of the number 14,660,723?

 A:
Positive:   1 x 146607237 x 209438911 x 133279319 x 77161777 x 190399121 x 121163133 x 110231209 x 70147847 x 17309911 x 160931463 x 100212299 x 6377
Negative: -1 x -14660723-7 x -2094389-11 x -1332793-19 x -771617-77 x -190399-121 x -121163-133 x -110231-209 x -70147-847 x -17309-911 x -16093-1463 x -10021-2299 x -6377


How do I find the factor combinations of the number 14,660,723?

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 14,660,723, 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 14,660,723
-1 -14,660,723

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 14,660,723.

Example:
1 x 14,660,723 = 14,660,723
and
-1 x -14,660,723 = 14,660,723
Notice both answers equal 14,660,723

With that explanation out of the way, let's continue. Next, we take the number 14,660,723 and divide it by 2:

14,660,723 ÷ 2 = 7,330,361.5

If the quotient is a whole number, then 2 and 7,330,361.5 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 14,660,723
-1 -14,660,723

Now, we try dividing 14,660,723 by 3:

14,660,723 ÷ 3 = 4,886,907.6667

If the quotient is a whole number, then 3 and 4,886,907.6667 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 14,660,723
-1 -14,660,723

Let's try dividing by 4:

14,660,723 ÷ 4 = 3,665,180.75

If the quotient is a whole number, then 4 and 3,665,180.75 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 14,660,723
-1 14,660,723
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771211332098479111,4632,2996,37710,02116,09317,30970,147110,231121,163190,399771,6171,332,7932,094,38914,660,723
-1-7-11-19-77-121-133-209-847-911-1,463-2,299-6,377-10,021-16,093-17,309-70,147-110,231-121,163-190,399-771,617-1,332,793-2,094,389-14,660,723

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