Q: What are the factor combinations of the number 1,624,435?

 A:
Positive:   1 x 16244355 x 32488717 x 9555529 x 5601585 x 19111145 x 11203493 x 3295659 x 2465
Negative: -1 x -1624435-5 x -324887-17 x -95555-29 x -56015-85 x -19111-145 x -11203-493 x -3295-659 x -2465


How do I find the factor combinations of the number 1,624,435?

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 1,624,435, 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 1,624,435
-1 -1,624,435

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 1,624,435.

Example:
1 x 1,624,435 = 1,624,435
and
-1 x -1,624,435 = 1,624,435
Notice both answers equal 1,624,435

With that explanation out of the way, let's continue. Next, we take the number 1,624,435 and divide it by 2:

1,624,435 ÷ 2 = 812,217.5

If the quotient is a whole number, then 2 and 812,217.5 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 1,624,435
-1 -1,624,435

Now, we try dividing 1,624,435 by 3:

1,624,435 ÷ 3 = 541,478.3333

If the quotient is a whole number, then 3 and 541,478.3333 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 1,624,435
-1 -1,624,435

Let's try dividing by 4:

1,624,435 ÷ 4 = 406,108.75

If the quotient is a whole number, then 4 and 406,108.75 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 1,624,435
-1 1,624,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454936592,4653,29511,20319,11156,01595,555324,8871,624,435
-1-5-17-29-85-145-493-659-2,465-3,295-11,203-19,111-56,015-95,555-324,887-1,624,435

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