Q: What are the factor combinations of the number 1,494,521?

 A:
Positive:   1 x 14945217 x 21350317 x 8791319 x 78659119 x 12559133 x 11237323 x 4627661 x 2261
Negative: -1 x -1494521-7 x -213503-17 x -87913-19 x -78659-119 x -12559-133 x -11237-323 x -4627-661 x -2261


How do I find the factor combinations of the number 1,494,521?

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 1,494,521, 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 1,494,521
-1 -1,494,521

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 1,494,521.

Example:
1 x 1,494,521 = 1,494,521
and
-1 x -1,494,521 = 1,494,521
Notice both answers equal 1,494,521

With that explanation out of the way, let's continue. Next, we take the number 1,494,521 and divide it by 2:

1,494,521 ÷ 2 = 747,260.5

If the quotient is a whole number, then 2 and 747,260.5 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 1,494,521
-1 -1,494,521

Now, we try dividing 1,494,521 by 3:

1,494,521 ÷ 3 = 498,173.6667

If the quotient is a whole number, then 3 and 498,173.6667 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 1,494,521
-1 -1,494,521

Let's try dividing by 4:

1,494,521 ÷ 4 = 373,630.25

If the quotient is a whole number, then 4 and 373,630.25 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 1,494,521
-1 1,494,521
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333236612,2614,62711,23712,55978,65987,913213,5031,494,521
-1-7-17-19-119-133-323-661-2,261-4,627-11,237-12,559-78,659-87,913-213,503-1,494,521

More Examples

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