Q: What are the factor combinations of the number 14,245,423?

 A:
Positive:   1 x 14245423449 x 31727
Negative: -1 x -14245423-449 x -31727


How do I find the factor combinations of the number 14,245,423?

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 14,245,423, 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 14,245,423
-1 -14,245,423

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 14,245,423.

Example:
1 x 14,245,423 = 14,245,423
and
-1 x -14,245,423 = 14,245,423
Notice both answers equal 14,245,423

With that explanation out of the way, let's continue. Next, we take the number 14,245,423 and divide it by 2:

14,245,423 ÷ 2 = 7,122,711.5

If the quotient is a whole number, then 2 and 7,122,711.5 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 14,245,423
-1 -14,245,423

Now, we try dividing 14,245,423 by 3:

14,245,423 ÷ 3 = 4,748,474.3333

If the quotient is a whole number, then 3 and 4,748,474.3333 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 14,245,423
-1 -14,245,423

Let's try dividing by 4:

14,245,423 ÷ 4 = 3,561,355.75

If the quotient is a whole number, then 4 and 3,561,355.75 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 14,245,423
-1 14,245,423
Keep dividing by the next highest number until you cannot divide anymore.

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

144931,72714,245,423
-1-449-31,727-14,245,423

More Examples

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