Q: What are the factor combinations of the number 1,482,793?

 A:
Positive:   1 x 148279313 x 114061167 x 8879683 x 2171
Negative: -1 x -1482793-13 x -114061-167 x -8879-683 x -2171


How do I find the factor combinations of the number 1,482,793?

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 1,482,793, 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 1,482,793
-1 -1,482,793

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 1,482,793.

Example:
1 x 1,482,793 = 1,482,793
and
-1 x -1,482,793 = 1,482,793
Notice both answers equal 1,482,793

With that explanation out of the way, let's continue. Next, we take the number 1,482,793 and divide it by 2:

1,482,793 ÷ 2 = 741,396.5

If the quotient is a whole number, then 2 and 741,396.5 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 1,482,793
-1 -1,482,793

Now, we try dividing 1,482,793 by 3:

1,482,793 ÷ 3 = 494,264.3333

If the quotient is a whole number, then 3 and 494,264.3333 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 1,482,793
-1 -1,482,793

Let's try dividing by 4:

1,482,793 ÷ 4 = 370,698.25

If the quotient is a whole number, then 4 and 370,698.25 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 1,482,793
-1 1,482,793
Keep dividing by the next highest number until you cannot divide anymore.

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

1131676832,1718,879114,0611,482,793
-1-13-167-683-2,171-8,879-114,061-1,482,793

More Examples

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