Q: What are the factor combinations of the number 5,050,705?

 A:
Positive:   1 x 50507055 x 101014111 x 45915555 x 91831131 x 38555655 x 7711701 x 72051441 x 3505
Negative: -1 x -5050705-5 x -1010141-11 x -459155-55 x -91831-131 x -38555-655 x -7711-701 x -7205-1441 x -3505


How do I find the factor combinations of the number 5,050,705?

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 5,050,705, 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 5,050,705
-1 -5,050,705

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 5,050,705.

Example:
1 x 5,050,705 = 5,050,705
and
-1 x -5,050,705 = 5,050,705
Notice both answers equal 5,050,705

With that explanation out of the way, let's continue. Next, we take the number 5,050,705 and divide it by 2:

5,050,705 ÷ 2 = 2,525,352.5

If the quotient is a whole number, then 2 and 2,525,352.5 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 5,050,705
-1 -5,050,705

Now, we try dividing 5,050,705 by 3:

5,050,705 ÷ 3 = 1,683,568.3333

If the quotient is a whole number, then 3 and 1,683,568.3333 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 5,050,705
-1 -5,050,705

Let's try dividing by 4:

5,050,705 ÷ 4 = 1,262,676.25

If the quotient is a whole number, then 4 and 1,262,676.25 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 5,050,705
-1 5,050,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316557011,4413,5057,2057,71138,55591,831459,1551,010,1415,050,705
-1-5-11-55-131-655-701-1,441-3,505-7,205-7,711-38,555-91,831-459,155-1,010,141-5,050,705

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,050,705:


Ask a Question