Q: What are the factor combinations of the number 847,847?

 A:
Positive:   1 x 8478477 x 12112111 x 7707713 x 6521949 x 1730377 x 1101191 x 9317121 x 7007143 x 5929539 x 1573637 x 1331847 x 1001
Negative: -1 x -847847-7 x -121121-11 x -77077-13 x -65219-49 x -17303-77 x -11011-91 x -9317-121 x -7007-143 x -5929-539 x -1573-637 x -1331-847 x -1001


How do I find the factor combinations of the number 847,847?

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 847,847, 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.

1 847,847
-1 -847,847

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 847,847.

Example:
1 x 847,847 = 847,847
and
-1 x -847,847 = 847,847
Notice both answers equal 847,847

With that explanation out of the way, let's continue. Next, we take the number 847,847 and divide it by 2:

847,847 ÷ 2 = 423,923.5

If the quotient is a whole number, then 2 and 423,923.5 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:

1 847,847
-1 -847,847

Now, we try dividing 847,847 by 3:

847,847 ÷ 3 = 282,615.6667

If the quotient is a whole number, then 3 and 282,615.6667 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:

1 847,847
-1 -847,847

Let's try dividing by 4:

847,847 ÷ 4 = 211,961.75

If the quotient is a whole number, then 4 and 211,961.75 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:

1 847,847
-1 847,847
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911211435396378471,0011,3311,5735,9297,0079,31711,01117,30365,21977,077121,121847,847
-1-7-11-13-49-77-91-121-143-539-637-847-1,001-1,331-1,573-5,929-7,007-9,317-11,011-17,303-65,219-77,077-121,121-847,847

More Examples

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