Q: What are the factor combinations of the number 31,064,555?

 A:
Positive:   1 x 310645555 x 621291161 x 509255179 x 173545305 x 101851569 x 54595895 x 347092845 x 10919
Negative: -1 x -31064555-5 x -6212911-61 x -509255-179 x -173545-305 x -101851-569 x -54595-895 x -34709-2845 x -10919


How do I find the factor combinations of the number 31,064,555?

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 31,064,555, 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 31,064,555
-1 -31,064,555

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 31,064,555.

Example:
1 x 31,064,555 = 31,064,555
and
-1 x -31,064,555 = 31,064,555
Notice both answers equal 31,064,555

With that explanation out of the way, let's continue. Next, we take the number 31,064,555 and divide it by 2:

31,064,555 ÷ 2 = 15,532,277.5

If the quotient is a whole number, then 2 and 15,532,277.5 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 31,064,555
-1 -31,064,555

Now, we try dividing 31,064,555 by 3:

31,064,555 ÷ 3 = 10,354,851.6667

If the quotient is a whole number, then 3 and 10,354,851.6667 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 31,064,555
-1 -31,064,555

Let's try dividing by 4:

31,064,555 ÷ 4 = 7,766,138.75

If the quotient is a whole number, then 4 and 7,766,138.75 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 31,064,555
-1 31,064,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15611793055698952,84510,91934,70954,595101,851173,545509,2556,212,91131,064,555
-1-5-61-179-305-569-895-2,845-10,919-34,709-54,595-101,851-173,545-509,255-6,212,911-31,064,555

More Examples

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