Q: What are the factor combinations of the number 1,050,847?

 A:
Positive:   1 x 10508477 x 15012123 x 4568961 x 17227107 x 9821161 x 6527427 x 2461749 x 1403
Negative: -1 x -1050847-7 x -150121-23 x -45689-61 x -17227-107 x -9821-161 x -6527-427 x -2461-749 x -1403


How do I find the factor combinations of the number 1,050,847?

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 1,050,847, 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 1,050,847
-1 -1,050,847

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 1,050,847.

Example:
1 x 1,050,847 = 1,050,847
and
-1 x -1,050,847 = 1,050,847
Notice both answers equal 1,050,847

With that explanation out of the way, let's continue. Next, we take the number 1,050,847 and divide it by 2:

1,050,847 ÷ 2 = 525,423.5

If the quotient is a whole number, then 2 and 525,423.5 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 1,050,847
-1 -1,050,847

Now, we try dividing 1,050,847 by 3:

1,050,847 ÷ 3 = 350,282.3333

If the quotient is a whole number, then 3 and 350,282.3333 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 1,050,847
-1 -1,050,847

Let's try dividing by 4:

1,050,847 ÷ 4 = 262,711.75

If the quotient is a whole number, then 4 and 262,711.75 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 1,050,847
-1 1,050,847
Keep dividing by the next highest number until you cannot divide anymore.

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

1723611071614277491,4032,4616,5279,82117,22745,689150,1211,050,847
-1-7-23-61-107-161-427-749-1,403-2,461-6,527-9,821-17,227-45,689-150,121-1,050,847

More Examples

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