Q: What are the factor combinations of the number 31,359,679?

 A:
Positive:   1 x 3135967913 x 241228317 x 1844687221 x 141899289 x 108511491 x 638693757 x 83474913 x 6383
Negative: -1 x -31359679-13 x -2412283-17 x -1844687-221 x -141899-289 x -108511-491 x -63869-3757 x -8347-4913 x -6383


How do I find the factor combinations of the number 31,359,679?

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 31,359,679, 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 31,359,679
-1 -31,359,679

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 31,359,679.

Example:
1 x 31,359,679 = 31,359,679
and
-1 x -31,359,679 = 31,359,679
Notice both answers equal 31,359,679

With that explanation out of the way, let's continue. Next, we take the number 31,359,679 and divide it by 2:

31,359,679 ÷ 2 = 15,679,839.5

If the quotient is a whole number, then 2 and 15,679,839.5 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 31,359,679
-1 -31,359,679

Now, we try dividing 31,359,679 by 3:

31,359,679 ÷ 3 = 10,453,226.3333

If the quotient is a whole number, then 3 and 10,453,226.3333 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 31,359,679
-1 -31,359,679

Let's try dividing by 4:

31,359,679 ÷ 4 = 7,839,919.75

If the quotient is a whole number, then 4 and 7,839,919.75 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 31,359,679
-1 31,359,679
Keep dividing by the next highest number until you cannot divide anymore.

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

113172212894913,7574,9136,3838,34763,869108,511141,8991,844,6872,412,28331,359,679
-1-13-17-221-289-491-3,757-4,913-6,383-8,347-63,869-108,511-141,899-1,844,687-2,412,283-31,359,679

More Examples

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