Q: What are the factor combinations of the number 8,738,375?

 A:
Positive:   1 x 87383755 x 174767525 x 34953553 x 164875125 x 69907265 x 329751319 x 66251325 x 6595
Negative: -1 x -8738375-5 x -1747675-25 x -349535-53 x -164875-125 x -69907-265 x -32975-1319 x -6625-1325 x -6595


How do I find the factor combinations of the number 8,738,375?

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 8,738,375, 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 8,738,375
-1 -8,738,375

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 8,738,375.

Example:
1 x 8,738,375 = 8,738,375
and
-1 x -8,738,375 = 8,738,375
Notice both answers equal 8,738,375

With that explanation out of the way, let's continue. Next, we take the number 8,738,375 and divide it by 2:

8,738,375 ÷ 2 = 4,369,187.5

If the quotient is a whole number, then 2 and 4,369,187.5 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 8,738,375
-1 -8,738,375

Now, we try dividing 8,738,375 by 3:

8,738,375 ÷ 3 = 2,912,791.6667

If the quotient is a whole number, then 3 and 2,912,791.6667 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 8,738,375
-1 -8,738,375

Let's try dividing by 4:

8,738,375 ÷ 4 = 2,184,593.75

If the quotient is a whole number, then 4 and 2,184,593.75 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 8,738,375
-1 8,738,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3191,3256,5956,62532,97569,907164,875349,5351,747,6758,738,375
-1-5-25-53-125-265-1,319-1,325-6,595-6,625-32,975-69,907-164,875-349,535-1,747,675-8,738,375

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