Q: What are the factor combinations of the number 443,892?

 A:
Positive:   1 x 4438922 x 2219463 x 1479644 x 1109736 x 7398212 x 3699171 x 6252142 x 3126213 x 2084284 x 1563426 x 1042521 x 852
Negative: -1 x -443892-2 x -221946-3 x -147964-4 x -110973-6 x -73982-12 x -36991-71 x -6252-142 x -3126-213 x -2084-284 x -1563-426 x -1042-521 x -852


How do I find the factor combinations of the number 443,892?

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 443,892, 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.

1 443,892
-1 -443,892

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 443,892.

Example:
1 x 443,892 = 443,892
and
-1 x -443,892 = 443,892
Notice both answers equal 443,892

With that explanation out of the way, let's continue. Next, we take the number 443,892 and divide it by 2:

443,892 ÷ 2 = 221,946

If the quotient is a whole number, then 2 and 221,946 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 2 221,946 443,892
-1 -2 -221,946 -443,892

Now, we try dividing 443,892 by 3:

443,892 ÷ 3 = 147,964

If the quotient is a whole number, then 3 and 147,964 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 3 147,964 221,946 443,892
-1 -2 -3 -147,964 -221,946 -443,892

Let's try dividing by 4:

443,892 ÷ 4 = 110,973

If the quotient is a whole number, then 4 and 110,973 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 4 110,973 147,964 221,946 443,892
-1 -2 -3 -4 -110,973 -147,964 -221,946 443,892
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612711422132844265218521,0421,5632,0843,1266,25236,99173,982110,973147,964221,946443,892
-1-2-3-4-6-12-71-142-213-284-426-521-852-1,042-1,563-2,084-3,126-6,252-36,991-73,982-110,973-147,964-221,946-443,892

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