Q: What are the factor combinations of the number 47,687,675?

 A:
Positive:   1 x 476876755 x 95375357 x 681252525 x 190750735 x 1362505175 x 272501379 x 125825719 x 663251895 x 251652653 x 179753595 x 132655033 x 9475
Negative: -1 x -47687675-5 x -9537535-7 x -6812525-25 x -1907507-35 x -1362505-175 x -272501-379 x -125825-719 x -66325-1895 x -25165-2653 x -17975-3595 x -13265-5033 x -9475


How do I find the factor combinations of the number 47,687,675?

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 47,687,675, 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 47,687,675
-1 -47,687,675

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 47,687,675.

Example:
1 x 47,687,675 = 47,687,675
and
-1 x -47,687,675 = 47,687,675
Notice both answers equal 47,687,675

With that explanation out of the way, let's continue. Next, we take the number 47,687,675 and divide it by 2:

47,687,675 ÷ 2 = 23,843,837.5

If the quotient is a whole number, then 2 and 23,843,837.5 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 47,687,675
-1 -47,687,675

Now, we try dividing 47,687,675 by 3:

47,687,675 ÷ 3 = 15,895,891.6667

If the quotient is a whole number, then 3 and 15,895,891.6667 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 47,687,675
-1 -47,687,675

Let's try dividing by 4:

47,687,675 ÷ 4 = 11,921,918.75

If the quotient is a whole number, then 4 and 11,921,918.75 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 47,687,675
-1 47,687,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753797191,8952,6533,5955,0339,47513,26517,97525,16566,325125,825272,5011,362,5051,907,5076,812,5259,537,53547,687,675
-1-5-7-25-35-175-379-719-1,895-2,653-3,595-5,033-9,475-13,265-17,975-25,165-66,325-125,825-272,501-1,362,505-1,907,507-6,812,525-9,537,535-47,687,675

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