Q: What are the factor combinations of the number 7,428,655?

 A:
Positive:   1 x 74286555 x 148573113 x 57143523 x 32298565 x 114287115 x 64597299 x 248451495 x 4969
Negative: -1 x -7428655-5 x -1485731-13 x -571435-23 x -322985-65 x -114287-115 x -64597-299 x -24845-1495 x -4969


How do I find the factor combinations of the number 7,428,655?

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 7,428,655, 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 7,428,655
-1 -7,428,655

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 7,428,655.

Example:
1 x 7,428,655 = 7,428,655
and
-1 x -7,428,655 = 7,428,655
Notice both answers equal 7,428,655

With that explanation out of the way, let's continue. Next, we take the number 7,428,655 and divide it by 2:

7,428,655 ÷ 2 = 3,714,327.5

If the quotient is a whole number, then 2 and 3,714,327.5 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 7,428,655
-1 -7,428,655

Now, we try dividing 7,428,655 by 3:

7,428,655 ÷ 3 = 2,476,218.3333

If the quotient is a whole number, then 3 and 2,476,218.3333 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 7,428,655
-1 -7,428,655

Let's try dividing by 4:

7,428,655 ÷ 4 = 1,857,163.75

If the quotient is a whole number, then 4 and 1,857,163.75 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 7,428,655
-1 7,428,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,4954,96924,84564,597114,287322,985571,4351,485,7317,428,655
-1-5-13-23-65-115-299-1,495-4,969-24,845-64,597-114,287-322,985-571,435-1,485,731-7,428,655

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,428,655:


Ask a Question