Q: What are the factor combinations of the number 7,471,105?

 A:
Positive:   1 x 74711055 x 149422189 x 83945103 x 72535163 x 45835445 x 16789515 x 14507815 x 9167
Negative: -1 x -7471105-5 x -1494221-89 x -83945-103 x -72535-163 x -45835-445 x -16789-515 x -14507-815 x -9167


How do I find the factor combinations of the number 7,471,105?

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 7,471,105, 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 7,471,105
-1 -7,471,105

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 7,471,105.

Example:
1 x 7,471,105 = 7,471,105
and
-1 x -7,471,105 = 7,471,105
Notice both answers equal 7,471,105

With that explanation out of the way, let's continue. Next, we take the number 7,471,105 and divide it by 2:

7,471,105 ÷ 2 = 3,735,552.5

If the quotient is a whole number, then 2 and 3,735,552.5 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 7,471,105
-1 -7,471,105

Now, we try dividing 7,471,105 by 3:

7,471,105 ÷ 3 = 2,490,368.3333

If the quotient is a whole number, then 3 and 2,490,368.3333 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 7,471,105
-1 -7,471,105

Let's try dividing by 4:

7,471,105 ÷ 4 = 1,867,776.25

If the quotient is a whole number, then 4 and 1,867,776.25 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 7,471,105
-1 7,471,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15891031634455158159,16714,50716,78945,83572,53583,9451,494,2217,471,105
-1-5-89-103-163-445-515-815-9,167-14,507-16,789-45,835-72,535-83,945-1,494,221-7,471,105

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,471,105:


Ask a Question