Q: What are the factor combinations of the number 31,452,655?

 A:
Positive:   1 x 314526555 x 629053113 x 241943565 x 483887673 x 46735719 x 437453365 x 93473595 x 8749
Negative: -1 x -31452655-5 x -6290531-13 x -2419435-65 x -483887-673 x -46735-719 x -43745-3365 x -9347-3595 x -8749


How do I find the factor combinations of the number 31,452,655?

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 31,452,655, 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 31,452,655
-1 -31,452,655

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 31,452,655.

Example:
1 x 31,452,655 = 31,452,655
and
-1 x -31,452,655 = 31,452,655
Notice both answers equal 31,452,655

With that explanation out of the way, let's continue. Next, we take the number 31,452,655 and divide it by 2:

31,452,655 ÷ 2 = 15,726,327.5

If the quotient is a whole number, then 2 and 15,726,327.5 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 31,452,655
-1 -31,452,655

Now, we try dividing 31,452,655 by 3:

31,452,655 ÷ 3 = 10,484,218.3333

If the quotient is a whole number, then 3 and 10,484,218.3333 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 31,452,655
-1 -31,452,655

Let's try dividing by 4:

31,452,655 ÷ 4 = 7,863,163.75

If the quotient is a whole number, then 4 and 7,863,163.75 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 31,452,655
-1 31,452,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1513656737193,3653,5958,7499,34743,74546,735483,8872,419,4356,290,53131,452,655
-1-5-13-65-673-719-3,365-3,595-8,749-9,347-43,745-46,735-483,887-2,419,435-6,290,531-31,452,655

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