Q: What are the factor combinations of the number 14,310,835?

 A:
Positive:   1 x 143108355 x 28621677 x 204440511 x 130098535 x 40888155 x 26019777 x 185855385 x 37171
Negative: -1 x -14310835-5 x -2862167-7 x -2044405-11 x -1300985-35 x -408881-55 x -260197-77 x -185855-385 x -37171


How do I find the factor combinations of the number 14,310,835?

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 14,310,835, 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 14,310,835
-1 -14,310,835

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 14,310,835.

Example:
1 x 14,310,835 = 14,310,835
and
-1 x -14,310,835 = 14,310,835
Notice both answers equal 14,310,835

With that explanation out of the way, let's continue. Next, we take the number 14,310,835 and divide it by 2:

14,310,835 ÷ 2 = 7,155,417.5

If the quotient is a whole number, then 2 and 7,155,417.5 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 14,310,835
-1 -14,310,835

Now, we try dividing 14,310,835 by 3:

14,310,835 ÷ 3 = 4,770,278.3333

If the quotient is a whole number, then 3 and 4,770,278.3333 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 14,310,835
-1 -14,310,835

Let's try dividing by 4:

14,310,835 ÷ 4 = 3,577,708.75

If the quotient is a whole number, then 4 and 3,577,708.75 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 14,310,835
-1 14,310,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738537,171185,855260,197408,8811,300,9852,044,4052,862,16714,310,835
-1-5-7-11-35-55-77-385-37,171-185,855-260,197-408,881-1,300,985-2,044,405-2,862,167-14,310,835

More Examples

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