Q: What are the factor combinations of the number 1,325,467?

 A:
Positive:   1 x 132546711 x 12049713 x 10195923 x 5762931 x 42757143 x 9269169 x 7843253 x 5239299 x 4433341 x 3887403 x 3289713 x 1859
Negative: -1 x -1325467-11 x -120497-13 x -101959-23 x -57629-31 x -42757-143 x -9269-169 x -7843-253 x -5239-299 x -4433-341 x -3887-403 x -3289-713 x -1859


How do I find the factor combinations of the number 1,325,467?

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 1,325,467, 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 1,325,467
-1 -1,325,467

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 1,325,467.

Example:
1 x 1,325,467 = 1,325,467
and
-1 x -1,325,467 = 1,325,467
Notice both answers equal 1,325,467

With that explanation out of the way, let's continue. Next, we take the number 1,325,467 and divide it by 2:

1,325,467 ÷ 2 = 662,733.5

If the quotient is a whole number, then 2 and 662,733.5 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 1,325,467
-1 -1,325,467

Now, we try dividing 1,325,467 by 3:

1,325,467 ÷ 3 = 441,822.3333

If the quotient is a whole number, then 3 and 441,822.3333 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 1,325,467
-1 -1,325,467

Let's try dividing by 4:

1,325,467 ÷ 4 = 331,366.75

If the quotient is a whole number, then 4 and 331,366.75 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 1,325,467
-1 1,325,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1111323311431692532993414037131,8593,2893,8874,4335,2397,8439,26942,75757,629101,959120,4971,325,467
-1-11-13-23-31-143-169-253-299-341-403-713-1,859-3,289-3,887-4,433-5,239-7,843-9,269-42,757-57,629-101,959-120,497-1,325,467

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