Q: What are the factor combinations of the number 1,491,685?

 A:
Positive:   1 x 14916855 x 29833713 x 11474553 x 2814565 x 22949265 x 5629433 x 3445689 x 2165
Negative: -1 x -1491685-5 x -298337-13 x -114745-53 x -28145-65 x -22949-265 x -5629-433 x -3445-689 x -2165


How do I find the factor combinations of the number 1,491,685?

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 1,491,685, 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 1,491,685
-1 -1,491,685

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 1,491,685.

Example:
1 x 1,491,685 = 1,491,685
and
-1 x -1,491,685 = 1,491,685
Notice both answers equal 1,491,685

With that explanation out of the way, let's continue. Next, we take the number 1,491,685 and divide it by 2:

1,491,685 ÷ 2 = 745,842.5

If the quotient is a whole number, then 2 and 745,842.5 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 1,491,685
-1 -1,491,685

Now, we try dividing 1,491,685 by 3:

1,491,685 ÷ 3 = 497,228.3333

If the quotient is a whole number, then 3 and 497,228.3333 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 1,491,685
-1 -1,491,685

Let's try dividing by 4:

1,491,685 ÷ 4 = 372,921.25

If the quotient is a whole number, then 4 and 372,921.25 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 1,491,685
-1 1,491,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151353652654336892,1653,4455,62922,94928,145114,745298,3371,491,685
-1-5-13-53-65-265-433-689-2,165-3,445-5,629-22,949-28,145-114,745-298,337-1,491,685

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,491,685:


Ask a Question