Q: What are the factor combinations of the number 31,616,165?

 A:
Positive:   1 x 316161655 x 63232337 x 451659535 x 903319293 x 1079051465 x 215812051 x 154153083 x 10255
Negative: -1 x -31616165-5 x -6323233-7 x -4516595-35 x -903319-293 x -107905-1465 x -21581-2051 x -15415-3083 x -10255


How do I find the factor combinations of the number 31,616,165?

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 31,616,165, 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 31,616,165
-1 -31,616,165

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 31,616,165.

Example:
1 x 31,616,165 = 31,616,165
and
-1 x -31,616,165 = 31,616,165
Notice both answers equal 31,616,165

With that explanation out of the way, let's continue. Next, we take the number 31,616,165 and divide it by 2:

31,616,165 ÷ 2 = 15,808,082.5

If the quotient is a whole number, then 2 and 15,808,082.5 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 31,616,165
-1 -31,616,165

Now, we try dividing 31,616,165 by 3:

31,616,165 ÷ 3 = 10,538,721.6667

If the quotient is a whole number, then 3 and 10,538,721.6667 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 31,616,165
-1 -31,616,165

Let's try dividing by 4:

31,616,165 ÷ 4 = 7,904,041.25

If the quotient is a whole number, then 4 and 7,904,041.25 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 31,616,165
-1 31,616,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157352931,4652,0513,08310,25515,41521,581107,905903,3194,516,5956,323,23331,616,165
-1-5-7-35-293-1,465-2,051-3,083-10,255-15,415-21,581-107,905-903,319-4,516,595-6,323,233-31,616,165

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