Q: What are the factor combinations of the number 5,242,391?

 A:
Positive:   1 x 52423917 x 74891311 x 47658177 x 68083103 x 50897661 x 7931721 x 72711133 x 4627
Negative: -1 x -5242391-7 x -748913-11 x -476581-77 x -68083-103 x -50897-661 x -7931-721 x -7271-1133 x -4627


How do I find the factor combinations of the number 5,242,391?

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 5,242,391, 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 5,242,391
-1 -5,242,391

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 5,242,391.

Example:
1 x 5,242,391 = 5,242,391
and
-1 x -5,242,391 = 5,242,391
Notice both answers equal 5,242,391

With that explanation out of the way, let's continue. Next, we take the number 5,242,391 and divide it by 2:

5,242,391 ÷ 2 = 2,621,195.5

If the quotient is a whole number, then 2 and 2,621,195.5 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 5,242,391
-1 -5,242,391

Now, we try dividing 5,242,391 by 3:

5,242,391 ÷ 3 = 1,747,463.6667

If the quotient is a whole number, then 3 and 1,747,463.6667 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 5,242,391
-1 -5,242,391

Let's try dividing by 4:

5,242,391 ÷ 4 = 1,310,597.75

If the quotient is a whole number, then 4 and 1,310,597.75 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 5,242,391
-1 5,242,391
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771036617211,1334,6277,2717,93150,89768,083476,581748,9135,242,391
-1-7-11-77-103-661-721-1,133-4,627-7,271-7,931-50,897-68,083-476,581-748,913-5,242,391

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,242,391:


Ask a Question