Q: What are the factor combinations of the number 1,798,435?

 A:
Positive:   1 x 17984355 x 35968729 x 6201579 x 22765145 x 12403157 x 11455395 x 4553785 x 2291
Negative: -1 x -1798435-5 x -359687-29 x -62015-79 x -22765-145 x -12403-157 x -11455-395 x -4553-785 x -2291


How do I find the factor combinations of the number 1,798,435?

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 1,798,435, 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 1,798,435
-1 -1,798,435

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 1,798,435.

Example:
1 x 1,798,435 = 1,798,435
and
-1 x -1,798,435 = 1,798,435
Notice both answers equal 1,798,435

With that explanation out of the way, let's continue. Next, we take the number 1,798,435 and divide it by 2:

1,798,435 ÷ 2 = 899,217.5

If the quotient is a whole number, then 2 and 899,217.5 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 1,798,435
-1 -1,798,435

Now, we try dividing 1,798,435 by 3:

1,798,435 ÷ 3 = 599,478.3333

If the quotient is a whole number, then 3 and 599,478.3333 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 1,798,435
-1 -1,798,435

Let's try dividing by 4:

1,798,435 ÷ 4 = 449,608.75

If the quotient is a whole number, then 4 and 449,608.75 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 1,798,435
-1 1,798,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1529791451573957852,2914,55311,45512,40322,76562,015359,6871,798,435
-1-5-29-79-145-157-395-785-2,291-4,553-11,455-12,403-22,765-62,015-359,687-1,798,435

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