Q: What are the factor combinations of the number 7,046,555?

 A:
Positive:   1 x 70465555 x 1409311
Negative: -1 x -7046555-5 x -1409311


How do I find the factor combinations of the number 7,046,555?

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 7,046,555, 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 7,046,555
-1 -7,046,555

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 7,046,555.

Example:
1 x 7,046,555 = 7,046,555
and
-1 x -7,046,555 = 7,046,555
Notice both answers equal 7,046,555

With that explanation out of the way, let's continue. Next, we take the number 7,046,555 and divide it by 2:

7,046,555 ÷ 2 = 3,523,277.5

If the quotient is a whole number, then 2 and 3,523,277.5 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 7,046,555
-1 -7,046,555

Now, we try dividing 7,046,555 by 3:

7,046,555 ÷ 3 = 2,348,851.6667

If the quotient is a whole number, then 3 and 2,348,851.6667 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 7,046,555
-1 -7,046,555

Let's try dividing by 4:

7,046,555 ÷ 4 = 1,761,638.75

If the quotient is a whole number, then 4 and 1,761,638.75 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 7,046,555
-1 7,046,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151,409,3117,046,555
-1-5-1,409,311-7,046,555

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,046,555:


Ask a Question