Q: What are the factor combinations of the number 13,450,423?

 A:
Positive:   1 x 134504237 x 192148919 x 70791723 x 584801133 x 101131161 x 83543437 x 307793059 x 4397
Negative: -1 x -13450423-7 x -1921489-19 x -707917-23 x -584801-133 x -101131-161 x -83543-437 x -30779-3059 x -4397


How do I find the factor combinations of the number 13,450,423?

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 13,450,423, 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 13,450,423
-1 -13,450,423

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 13,450,423.

Example:
1 x 13,450,423 = 13,450,423
and
-1 x -13,450,423 = 13,450,423
Notice both answers equal 13,450,423

With that explanation out of the way, let's continue. Next, we take the number 13,450,423 and divide it by 2:

13,450,423 ÷ 2 = 6,725,211.5

If the quotient is a whole number, then 2 and 6,725,211.5 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 13,450,423
-1 -13,450,423

Now, we try dividing 13,450,423 by 3:

13,450,423 ÷ 3 = 4,483,474.3333

If the quotient is a whole number, then 3 and 4,483,474.3333 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 13,450,423
-1 -13,450,423

Let's try dividing by 4:

13,450,423 ÷ 4 = 3,362,605.75

If the quotient is a whole number, then 4 and 3,362,605.75 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 13,450,423
-1 13,450,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1719231331614373,0594,39730,77983,543101,131584,801707,9171,921,48913,450,423
-1-7-19-23-133-161-437-3,059-4,397-30,779-83,543-101,131-584,801-707,917-1,921,489-13,450,423

More Examples

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