Q: What are the factor combinations of the number 4,700,375?

 A:
Positive:   1 x 47003755 x 94007525 x 18801531 x 151625125 x 37603155 x 30325775 x 60651213 x 3875
Negative: -1 x -4700375-5 x -940075-25 x -188015-31 x -151625-125 x -37603-155 x -30325-775 x -6065-1213 x -3875


How do I find the factor combinations of the number 4,700,375?

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 4,700,375, 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 4,700,375
-1 -4,700,375

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 4,700,375.

Example:
1 x 4,700,375 = 4,700,375
and
-1 x -4,700,375 = 4,700,375
Notice both answers equal 4,700,375

With that explanation out of the way, let's continue. Next, we take the number 4,700,375 and divide it by 2:

4,700,375 ÷ 2 = 2,350,187.5

If the quotient is a whole number, then 2 and 2,350,187.5 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 4,700,375
-1 -4,700,375

Now, we try dividing 4,700,375 by 3:

4,700,375 ÷ 3 = 1,566,791.6667

If the quotient is a whole number, then 3 and 1,566,791.6667 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 4,700,375
-1 -4,700,375

Let's try dividing by 4:

4,700,375 ÷ 4 = 1,175,093.75

If the quotient is a whole number, then 4 and 1,175,093.75 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 4,700,375
-1 4,700,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557751,2133,8756,06530,32537,603151,625188,015940,0754,700,375
-1-5-25-31-125-155-775-1,213-3,875-6,065-30,325-37,603-151,625-188,015-940,075-4,700,375

More Examples

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