Q: What are the factor combinations of the number 4,708,249?

 A:
Positive:   1 x 47082497 x 67260713 x 36217331 x 15187991 x 51739217 x 21697403 x 116831669 x 2821
Negative: -1 x -4708249-7 x -672607-13 x -362173-31 x -151879-91 x -51739-217 x -21697-403 x -11683-1669 x -2821


How do I find the factor combinations of the number 4,708,249?

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 4,708,249, 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 4,708,249
-1 -4,708,249

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 4,708,249.

Example:
1 x 4,708,249 = 4,708,249
and
-1 x -4,708,249 = 4,708,249
Notice both answers equal 4,708,249

With that explanation out of the way, let's continue. Next, we take the number 4,708,249 and divide it by 2:

4,708,249 ÷ 2 = 2,354,124.5

If the quotient is a whole number, then 2 and 2,354,124.5 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 4,708,249
-1 -4,708,249

Now, we try dividing 4,708,249 by 3:

4,708,249 ÷ 3 = 1,569,416.3333

If the quotient is a whole number, then 3 and 1,569,416.3333 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 4,708,249
-1 -4,708,249

Let's try dividing by 4:

4,708,249 ÷ 4 = 1,177,062.25

If the quotient is a whole number, then 4 and 1,177,062.25 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 4,708,249
-1 4,708,249
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174031,6692,82111,68321,69751,739151,879362,173672,6074,708,249
-1-7-13-31-91-217-403-1,669-2,821-11,683-21,697-51,739-151,879-362,173-672,607-4,708,249

More Examples

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