Q: What are the factor combinations of the number 805,284?

 A:
Positive:   1 x 8052842 x 4026423 x 2684284 x 2013216 x 1342149 x 8947612 x 6710718 x 4473836 x 22369
Negative: -1 x -805284-2 x -402642-3 x -268428-4 x -201321-6 x -134214-9 x -89476-12 x -67107-18 x -44738-36 x -22369


How do I find the factor combinations of the number 805,284?

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 805,284, 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.

1 805,284
-1 -805,284

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 805,284.

Example:
1 x 805,284 = 805,284
and
-1 x -805,284 = 805,284
Notice both answers equal 805,284

With that explanation out of the way, let's continue. Next, we take the number 805,284 and divide it by 2:

805,284 ÷ 2 = 402,642

If the quotient is a whole number, then 2 and 402,642 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 2 402,642 805,284
-1 -2 -402,642 -805,284

Now, we try dividing 805,284 by 3:

805,284 ÷ 3 = 268,428

If the quotient is a whole number, then 3 and 268,428 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 3 268,428 402,642 805,284
-1 -2 -3 -268,428 -402,642 -805,284

Let's try dividing by 4:

805,284 ÷ 4 = 201,321

If the quotient is a whole number, then 4 and 201,321 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 4 201,321 268,428 402,642 805,284
-1 -2 -3 -4 -201,321 -268,428 -402,642 805,284
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912183622,36944,73867,10789,476134,214201,321268,428402,642805,284
-1-2-3-4-6-9-12-18-36-22,369-44,738-67,107-89,476-134,214-201,321-268,428-402,642-805,284

More Examples

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