Q: What are the factor combinations of the number 1,036,679?

 A:
Positive:   1 x 10366797 x 14809723 x 4507347 x 22057137 x 7567161 x 6439329 x 3151959 x 1081
Negative: -1 x -1036679-7 x -148097-23 x -45073-47 x -22057-137 x -7567-161 x -6439-329 x -3151-959 x -1081


How do I find the factor combinations of the number 1,036,679?

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 1,036,679, 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 1,036,679
-1 -1,036,679

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 1,036,679.

Example:
1 x 1,036,679 = 1,036,679
and
-1 x -1,036,679 = 1,036,679
Notice both answers equal 1,036,679

With that explanation out of the way, let's continue. Next, we take the number 1,036,679 and divide it by 2:

1,036,679 ÷ 2 = 518,339.5

If the quotient is a whole number, then 2 and 518,339.5 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 1,036,679
-1 -1,036,679

Now, we try dividing 1,036,679 by 3:

1,036,679 ÷ 3 = 345,559.6667

If the quotient is a whole number, then 3 and 345,559.6667 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 1,036,679
-1 -1,036,679

Let's try dividing by 4:

1,036,679 ÷ 4 = 259,169.75

If the quotient is a whole number, then 4 and 259,169.75 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 1,036,679
-1 1,036,679
Keep dividing by the next highest number until you cannot divide anymore.

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

1723471371613299591,0813,1516,4397,56722,05745,073148,0971,036,679
-1-7-23-47-137-161-329-959-1,081-3,151-6,439-7,567-22,057-45,073-148,097-1,036,679

More Examples

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