Q: What are the factor combinations of the number 863,741?

 A:
Positive:   1 x 86374143 x 2008753 x 16297379 x 2279
Negative: -1 x -863741-43 x -20087-53 x -16297-379 x -2279


How do I find the factor combinations of the number 863,741?

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 863,741, 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.

1 863,741
-1 -863,741

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 863,741.

Example:
1 x 863,741 = 863,741
and
-1 x -863,741 = 863,741
Notice both answers equal 863,741

With that explanation out of the way, let's continue. Next, we take the number 863,741 and divide it by 2:

863,741 ÷ 2 = 431,870.5

If the quotient is a whole number, then 2 and 431,870.5 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:

1 863,741
-1 -863,741

Now, we try dividing 863,741 by 3:

863,741 ÷ 3 = 287,913.6667

If the quotient is a whole number, then 3 and 287,913.6667 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:

1 863,741
-1 -863,741

Let's try dividing by 4:

863,741 ÷ 4 = 215,935.25

If the quotient is a whole number, then 4 and 215,935.25 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:

1 863,741
-1 863,741
Keep dividing by the next highest number until you cannot divide anymore.

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

143533792,27916,29720,087863,741
-1-43-53-379-2,279-16,297-20,087-863,741

More Examples

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