Q: What are the factor combinations of the number 1,489,315?

 A:
Positive:   1 x 14893155 x 29786319 x 7838561 x 2441595 x 15677257 x 5795305 x 48831159 x 1285
Negative: -1 x -1489315-5 x -297863-19 x -78385-61 x -24415-95 x -15677-257 x -5795-305 x -4883-1159 x -1285


How do I find the factor combinations of the number 1,489,315?

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 1,489,315, 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 1,489,315
-1 -1,489,315

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 1,489,315.

Example:
1 x 1,489,315 = 1,489,315
and
-1 x -1,489,315 = 1,489,315
Notice both answers equal 1,489,315

With that explanation out of the way, let's continue. Next, we take the number 1,489,315 and divide it by 2:

1,489,315 ÷ 2 = 744,657.5

If the quotient is a whole number, then 2 and 744,657.5 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 1,489,315
-1 -1,489,315

Now, we try dividing 1,489,315 by 3:

1,489,315 ÷ 3 = 496,438.3333

If the quotient is a whole number, then 3 and 496,438.3333 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 1,489,315
-1 -1,489,315

Let's try dividing by 4:

1,489,315 ÷ 4 = 372,328.75

If the quotient is a whole number, then 4 and 372,328.75 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 1,489,315
-1 1,489,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151961952573051,1591,2854,8835,79515,67724,41578,385297,8631,489,315
-1-5-19-61-95-257-305-1,159-1,285-4,883-5,795-15,677-24,415-78,385-297,863-1,489,315

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