Q: What are the factor combinations of the number 1,083,397?

 A:
Positive:   1 x 10833977 x 15477137 x 2928147 x 2305189 x 12173259 x 4183329 x 3293623 x 1739
Negative: -1 x -1083397-7 x -154771-37 x -29281-47 x -23051-89 x -12173-259 x -4183-329 x -3293-623 x -1739


How do I find the factor combinations of the number 1,083,397?

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 1,083,397, 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 1,083,397
-1 -1,083,397

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 1,083,397.

Example:
1 x 1,083,397 = 1,083,397
and
-1 x -1,083,397 = 1,083,397
Notice both answers equal 1,083,397

With that explanation out of the way, let's continue. Next, we take the number 1,083,397 and divide it by 2:

1,083,397 ÷ 2 = 541,698.5

If the quotient is a whole number, then 2 and 541,698.5 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 1,083,397
-1 -1,083,397

Now, we try dividing 1,083,397 by 3:

1,083,397 ÷ 3 = 361,132.3333

If the quotient is a whole number, then 3 and 361,132.3333 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 1,083,397
-1 -1,083,397

Let's try dividing by 4:

1,083,397 ÷ 4 = 270,849.25

If the quotient is a whole number, then 4 and 270,849.25 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 1,083,397
-1 1,083,397
Keep dividing by the next highest number until you cannot divide anymore.

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

173747892593296231,7393,2934,18312,17323,05129,281154,7711,083,397
-1-7-37-47-89-259-329-623-1,739-3,293-4,183-12,173-23,051-29,281-154,771-1,083,397

More Examples

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