Q: What are the factor combinations of the number 31,300,877?

 A:
Positive:   1 x 3130087783 x 377119149 x 2100732531 x 12367
Negative: -1 x -31300877-83 x -377119-149 x -210073-2531 x -12367


How do I find the factor combinations of the number 31,300,877?

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 31,300,877, 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 31,300,877
-1 -31,300,877

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 31,300,877.

Example:
1 x 31,300,877 = 31,300,877
and
-1 x -31,300,877 = 31,300,877
Notice both answers equal 31,300,877

With that explanation out of the way, let's continue. Next, we take the number 31,300,877 and divide it by 2:

31,300,877 ÷ 2 = 15,650,438.5

If the quotient is a whole number, then 2 and 15,650,438.5 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 31,300,877
-1 -31,300,877

Now, we try dividing 31,300,877 by 3:

31,300,877 ÷ 3 = 10,433,625.6667

If the quotient is a whole number, then 3 and 10,433,625.6667 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 31,300,877
-1 -31,300,877

Let's try dividing by 4:

31,300,877 ÷ 4 = 7,825,219.25

If the quotient is a whole number, then 4 and 7,825,219.25 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 31,300,877
-1 31,300,877
Keep dividing by the next highest number until you cannot divide anymore.

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

1831492,53112,367210,073377,11931,300,877
-1-83-149-2,531-12,367-210,073-377,119-31,300,877

More Examples

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