Q: What are the factor combinations of the number 48,673,075?

 A:
Positive:   1 x 486730755 x 973461511 x 442482525 x 194692355 x 884965275 x 176993379 x 128425467 x 1042251895 x 256852335 x 208454169 x 116755137 x 9475
Negative: -1 x -48673075-5 x -9734615-11 x -4424825-25 x -1946923-55 x -884965-275 x -176993-379 x -128425-467 x -104225-1895 x -25685-2335 x -20845-4169 x -11675-5137 x -9475


How do I find the factor combinations of the number 48,673,075?

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 48,673,075, 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 48,673,075
-1 -48,673,075

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 48,673,075.

Example:
1 x 48,673,075 = 48,673,075
and
-1 x -48,673,075 = 48,673,075
Notice both answers equal 48,673,075

With that explanation out of the way, let's continue. Next, we take the number 48,673,075 and divide it by 2:

48,673,075 ÷ 2 = 24,336,537.5

If the quotient is a whole number, then 2 and 24,336,537.5 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 48,673,075
-1 -48,673,075

Now, we try dividing 48,673,075 by 3:

48,673,075 ÷ 3 = 16,224,358.3333

If the quotient is a whole number, then 3 and 16,224,358.3333 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 48,673,075
-1 -48,673,075

Let's try dividing by 4:

48,673,075 ÷ 4 = 12,168,268.75

If the quotient is a whole number, then 4 and 12,168,268.75 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 48,673,075
-1 48,673,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552753794671,8952,3354,1695,1379,47511,67520,84525,685104,225128,425176,993884,9651,946,9234,424,8259,734,61548,673,075
-1-5-11-25-55-275-379-467-1,895-2,335-4,169-5,137-9,475-11,675-20,845-25,685-104,225-128,425-176,993-884,965-1,946,923-4,424,825-9,734,615-48,673,075

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