Q: What are the factor combinations of the number 5,241,509?

 A:
Positive:   1 x 52415097 x 74878713 x 40319391 x 57599239 x 21931241 x 217491673 x 31331687 x 3107
Negative: -1 x -5241509-7 x -748787-13 x -403193-91 x -57599-239 x -21931-241 x -21749-1673 x -3133-1687 x -3107


How do I find the factor combinations of the number 5,241,509?

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 5,241,509, 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 5,241,509
-1 -5,241,509

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 5,241,509.

Example:
1 x 5,241,509 = 5,241,509
and
-1 x -5,241,509 = 5,241,509
Notice both answers equal 5,241,509

With that explanation out of the way, let's continue. Next, we take the number 5,241,509 and divide it by 2:

5,241,509 ÷ 2 = 2,620,754.5

If the quotient is a whole number, then 2 and 2,620,754.5 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 5,241,509
-1 -5,241,509

Now, we try dividing 5,241,509 by 3:

5,241,509 ÷ 3 = 1,747,169.6667

If the quotient is a whole number, then 3 and 1,747,169.6667 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 5,241,509
-1 -5,241,509

Let's try dividing by 4:

5,241,509 ÷ 4 = 1,310,377.25

If the quotient is a whole number, then 4 and 1,310,377.25 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 5,241,509
-1 5,241,509
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912392411,6731,6873,1073,13321,74921,93157,599403,193748,7875,241,509
-1-7-13-91-239-241-1,673-1,687-3,107-3,133-21,749-21,931-57,599-403,193-748,787-5,241,509

More Examples

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