Q: What are the factor combinations of the number 8,645?

 A:
Positive:   1 x 86455 x 17297 x 123513 x 66519 x 45535 x 24765 x 13391 x 95
Negative: -1 x -8645-5 x -1729-7 x -1235-13 x -665-19 x -455-35 x -247-65 x -133-91 x -95


How do I find the factor combinations of the number 8,645?

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 8,645, 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 8,645
-1 -8,645

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 8,645.

Example:
1 x 8,645 = 8,645
and
-1 x -8,645 = 8,645
Notice both answers equal 8,645

With that explanation out of the way, let's continue. Next, we take the number 8,645 and divide it by 2:

8,645 ÷ 2 = 4,322.5

If the quotient is a whole number, then 2 and 4,322.5 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 8,645
-1 -8,645

Now, we try dividing 8,645 by 3:

8,645 ÷ 3 = 2,881.6667

If the quotient is a whole number, then 3 and 2,881.6667 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 8,645
-1 -8,645

Let's try dividing by 4:

8,645 ÷ 4 = 2,161.25

If the quotient is a whole number, then 4 and 2,161.25 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 8,645
-1 8,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1571319356591951332474556651,2351,7298,645
-1-5-7-13-19-35-65-91-95-133-247-455-665-1,235-1,729-8,645

More Examples

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