Q: What are the factor combinations of the number 1,550,989?

 A:
Positive:   1 x 155098911 x 14099919 x 8163141 x 37829181 x 8569209 x 7421451 x 3439779 x 1991
Negative: -1 x -1550989-11 x -140999-19 x -81631-41 x -37829-181 x -8569-209 x -7421-451 x -3439-779 x -1991


How do I find the factor combinations of the number 1,550,989?

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 1,550,989, 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 1,550,989
-1 -1,550,989

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 1,550,989.

Example:
1 x 1,550,989 = 1,550,989
and
-1 x -1,550,989 = 1,550,989
Notice both answers equal 1,550,989

With that explanation out of the way, let's continue. Next, we take the number 1,550,989 and divide it by 2:

1,550,989 ÷ 2 = 775,494.5

If the quotient is a whole number, then 2 and 775,494.5 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 1,550,989
-1 -1,550,989

Now, we try dividing 1,550,989 by 3:

1,550,989 ÷ 3 = 516,996.3333

If the quotient is a whole number, then 3 and 516,996.3333 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 1,550,989
-1 -1,550,989

Let's try dividing by 4:

1,550,989 ÷ 4 = 387,747.25

If the quotient is a whole number, then 4 and 387,747.25 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 1,550,989
-1 1,550,989
Keep dividing by the next highest number until you cannot divide anymore.

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

11119411812094517791,9913,4397,4218,56937,82981,631140,9991,550,989
-1-11-19-41-181-209-451-779-1,991-3,439-7,421-8,569-37,829-81,631-140,999-1,550,989

More Examples

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