Q: What are the factor combinations of the number 1,046,155?

 A:
Positive:   1 x 10461555 x 20923111 x 9510523 x 4548555 x 19021115 x 9097253 x 4135827 x 1265
Negative: -1 x -1046155-5 x -209231-11 x -95105-23 x -45485-55 x -19021-115 x -9097-253 x -4135-827 x -1265


How do I find the factor combinations of the number 1,046,155?

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 1,046,155, 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 1,046,155
-1 -1,046,155

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 1,046,155.

Example:
1 x 1,046,155 = 1,046,155
and
-1 x -1,046,155 = 1,046,155
Notice both answers equal 1,046,155

With that explanation out of the way, let's continue. Next, we take the number 1,046,155 and divide it by 2:

1,046,155 ÷ 2 = 523,077.5

If the quotient is a whole number, then 2 and 523,077.5 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 1,046,155
-1 -1,046,155

Now, we try dividing 1,046,155 by 3:

1,046,155 ÷ 3 = 348,718.3333

If the quotient is a whole number, then 3 and 348,718.3333 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 1,046,155
-1 -1,046,155

Let's try dividing by 4:

1,046,155 ÷ 4 = 261,538.75

If the quotient is a whole number, then 4 and 261,538.75 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 1,046,155
-1 1,046,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152538271,2654,1359,09719,02145,48595,105209,2311,046,155
-1-5-11-23-55-115-253-827-1,265-4,135-9,097-19,021-45,485-95,105-209,231-1,046,155

More Examples

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