Q: What are the factor combinations of the number 1,494,493?

 A:
Positive:   1 x 14944937 x 21349911 x 13586313 x 11496177 x 1940991 x 16423143 x 104511001 x 1493
Negative: -1 x -1494493-7 x -213499-11 x -135863-13 x -114961-77 x -19409-91 x -16423-143 x -10451-1001 x -1493


How do I find the factor combinations of the number 1,494,493?

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 1,494,493, 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 1,494,493
-1 -1,494,493

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 1,494,493.

Example:
1 x 1,494,493 = 1,494,493
and
-1 x -1,494,493 = 1,494,493
Notice both answers equal 1,494,493

With that explanation out of the way, let's continue. Next, we take the number 1,494,493 and divide it by 2:

1,494,493 ÷ 2 = 747,246.5

If the quotient is a whole number, then 2 and 747,246.5 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 1,494,493
-1 -1,494,493

Now, we try dividing 1,494,493 by 3:

1,494,493 ÷ 3 = 498,164.3333

If the quotient is a whole number, then 3 and 498,164.3333 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 1,494,493
-1 -1,494,493

Let's try dividing by 4:

1,494,493 ÷ 4 = 373,623.25

If the quotient is a whole number, then 4 and 373,623.25 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 1,494,493
-1 1,494,493
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0011,49310,45116,42319,409114,961135,863213,4991,494,493
-1-7-11-13-77-91-143-1,001-1,493-10,451-16,423-19,409-114,961-135,863-213,499-1,494,493

More Examples

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