Q: What are the factor combinations of the number 7,242,505?

 A:
Positive:   1 x 72425055 x 144850197 x 74665109 x 66445137 x 52865485 x 14933545 x 13289685 x 10573
Negative: -1 x -7242505-5 x -1448501-97 x -74665-109 x -66445-137 x -52865-485 x -14933-545 x -13289-685 x -10573


How do I find the factor combinations of the number 7,242,505?

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 7,242,505, 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 7,242,505
-1 -7,242,505

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 7,242,505.

Example:
1 x 7,242,505 = 7,242,505
and
-1 x -7,242,505 = 7,242,505
Notice both answers equal 7,242,505

With that explanation out of the way, let's continue. Next, we take the number 7,242,505 and divide it by 2:

7,242,505 ÷ 2 = 3,621,252.5

If the quotient is a whole number, then 2 and 3,621,252.5 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 7,242,505
-1 -7,242,505

Now, we try dividing 7,242,505 by 3:

7,242,505 ÷ 3 = 2,414,168.3333

If the quotient is a whole number, then 3 and 2,414,168.3333 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 7,242,505
-1 -7,242,505

Let's try dividing by 4:

7,242,505 ÷ 4 = 1,810,626.25

If the quotient is a whole number, then 4 and 1,810,626.25 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 7,242,505
-1 7,242,505
Keep dividing by the next highest number until you cannot divide anymore.

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

159710913748554568510,57313,28914,93352,86566,44574,6651,448,5017,242,505
-1-5-97-109-137-485-545-685-10,573-13,289-14,933-52,865-66,445-74,665-1,448,501-7,242,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,242,505:


Ask a Question