Q: What are the factor combinations of the number 1,040,143?

 A:
Positive:   1 x 104014313 x 8001129 x 3586731 x 3355389 x 11687377 x 2759403 x 2581899 x 1157
Negative: -1 x -1040143-13 x -80011-29 x -35867-31 x -33553-89 x -11687-377 x -2759-403 x -2581-899 x -1157


How do I find the factor combinations of the number 1,040,143?

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 1,040,143, 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 1,040,143
-1 -1,040,143

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 1,040,143.

Example:
1 x 1,040,143 = 1,040,143
and
-1 x -1,040,143 = 1,040,143
Notice both answers equal 1,040,143

With that explanation out of the way, let's continue. Next, we take the number 1,040,143 and divide it by 2:

1,040,143 ÷ 2 = 520,071.5

If the quotient is a whole number, then 2 and 520,071.5 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 1,040,143
-1 -1,040,143

Now, we try dividing 1,040,143 by 3:

1,040,143 ÷ 3 = 346,714.3333

If the quotient is a whole number, then 3 and 346,714.3333 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 1,040,143
-1 -1,040,143

Let's try dividing by 4:

1,040,143 ÷ 4 = 260,035.75

If the quotient is a whole number, then 4 and 260,035.75 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 1,040,143
-1 1,040,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1132931893774038991,1572,5812,75911,68733,55335,86780,0111,040,143
-1-13-29-31-89-377-403-899-1,157-2,581-2,759-11,687-33,553-35,867-80,011-1,040,143

More Examples

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