Q: What are the factor combinations of the number 1,423,835?

 A:
Positive:   1 x 14238355 x 2847677 x 20340517 x 8375535 x 4068185 x 16751119 x 11965595 x 2393
Negative: -1 x -1423835-5 x -284767-7 x -203405-17 x -83755-35 x -40681-85 x -16751-119 x -11965-595 x -2393


How do I find the factor combinations of the number 1,423,835?

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 1,423,835, 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 1,423,835
-1 -1,423,835

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 1,423,835.

Example:
1 x 1,423,835 = 1,423,835
and
-1 x -1,423,835 = 1,423,835
Notice both answers equal 1,423,835

With that explanation out of the way, let's continue. Next, we take the number 1,423,835 and divide it by 2:

1,423,835 ÷ 2 = 711,917.5

If the quotient is a whole number, then 2 and 711,917.5 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 1,423,835
-1 -1,423,835

Now, we try dividing 1,423,835 by 3:

1,423,835 ÷ 3 = 474,611.6667

If the quotient is a whole number, then 3 and 474,611.6667 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 1,423,835
-1 -1,423,835

Let's try dividing by 4:

1,423,835 ÷ 4 = 355,958.75

If the quotient is a whole number, then 4 and 355,958.75 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 1,423,835
-1 1,423,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195952,39311,96516,75140,68183,755203,405284,7671,423,835
-1-5-7-17-35-85-119-595-2,393-11,965-16,751-40,681-83,755-203,405-284,767-1,423,835

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