Q: What are the factor combinations of the number 5,470,507?

 A:
Positive:   1 x 54705077 x 78150141 x 13342749 x 111643287 x 19061343 x 15949389 x 140632009 x 2723
Negative: -1 x -5470507-7 x -781501-41 x -133427-49 x -111643-287 x -19061-343 x -15949-389 x -14063-2009 x -2723


How do I find the factor combinations of the number 5,470,507?

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 5,470,507, 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 5,470,507
-1 -5,470,507

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 5,470,507.

Example:
1 x 5,470,507 = 5,470,507
and
-1 x -5,470,507 = 5,470,507
Notice both answers equal 5,470,507

With that explanation out of the way, let's continue. Next, we take the number 5,470,507 and divide it by 2:

5,470,507 ÷ 2 = 2,735,253.5

If the quotient is a whole number, then 2 and 2,735,253.5 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 5,470,507
-1 -5,470,507

Now, we try dividing 5,470,507 by 3:

5,470,507 ÷ 3 = 1,823,502.3333

If the quotient is a whole number, then 3 and 1,823,502.3333 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 5,470,507
-1 -5,470,507

Let's try dividing by 4:

5,470,507 ÷ 4 = 1,367,626.75

If the quotient is a whole number, then 4 and 1,367,626.75 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 5,470,507
-1 5,470,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1741492873433892,0092,72314,06315,94919,061111,643133,427781,5015,470,507
-1-7-41-49-287-343-389-2,009-2,723-14,063-15,949-19,061-111,643-133,427-781,501-5,470,507

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,470,507:


Ask a Question