Q: What are the factor combinations of the number 1,018,567?

 A:
Positive:   1 x 101856711 x 9259729 x 3512331 x 32857103 x 9889319 x 3193341 x 2987899 x 1133
Negative: -1 x -1018567-11 x -92597-29 x -35123-31 x -32857-103 x -9889-319 x -3193-341 x -2987-899 x -1133


How do I find the factor combinations of the number 1,018,567?

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 1,018,567, 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 1,018,567
-1 -1,018,567

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 1,018,567.

Example:
1 x 1,018,567 = 1,018,567
and
-1 x -1,018,567 = 1,018,567
Notice both answers equal 1,018,567

With that explanation out of the way, let's continue. Next, we take the number 1,018,567 and divide it by 2:

1,018,567 ÷ 2 = 509,283.5

If the quotient is a whole number, then 2 and 509,283.5 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 1,018,567
-1 -1,018,567

Now, we try dividing 1,018,567 by 3:

1,018,567 ÷ 3 = 339,522.3333

If the quotient is a whole number, then 3 and 339,522.3333 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 1,018,567
-1 -1,018,567

Let's try dividing by 4:

1,018,567 ÷ 4 = 254,641.75

If the quotient is a whole number, then 4 and 254,641.75 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 1,018,567
-1 1,018,567
Keep dividing by the next highest number until you cannot divide anymore.

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

11129311033193418991,1332,9873,1939,88932,85735,12392,5971,018,567
-1-11-29-31-103-319-341-899-1,133-2,987-3,193-9,889-32,857-35,123-92,597-1,018,567

More Examples

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