Q: What are the factor combinations of the number 436,962?

 A:
Positive:   1 x 4369622 x 2184813 x 1456546 x 7282719 x 2299838 x 1149957 x 7666114 x 3833
Negative: -1 x -436962-2 x -218481-3 x -145654-6 x -72827-19 x -22998-38 x -11499-57 x -7666-114 x -3833


How do I find the factor combinations of the number 436,962?

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 436,962, 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.

1 436,962
-1 -436,962

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 436,962.

Example:
1 x 436,962 = 436,962
and
-1 x -436,962 = 436,962
Notice both answers equal 436,962

With that explanation out of the way, let's continue. Next, we take the number 436,962 and divide it by 2:

436,962 ÷ 2 = 218,481

If the quotient is a whole number, then 2 and 218,481 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 218,481 436,962
-1 -2 -218,481 -436,962

Now, we try dividing 436,962 by 3:

436,962 ÷ 3 = 145,654

If the quotient is a whole number, then 3 and 145,654 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 145,654 218,481 436,962
-1 -2 -3 -145,654 -218,481 -436,962

Let's try dividing by 4:

436,962 ÷ 4 = 109,240.5

If the quotient is a whole number, then 4 and 109,240.5 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 2 3 145,654 218,481 436,962
-1 -2 -3 -145,654 -218,481 436,962
Keep dividing by the next highest number until you cannot divide anymore.

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

12361938571143,8337,66611,49922,99872,827145,654218,481436,962
-1-2-3-6-19-38-57-114-3,833-7,666-11,499-22,998-72,827-145,654-218,481-436,962

More Examples

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