Q: What are the factor combinations of the number 3,825,875?

 A:
Positive:   1 x 38258755 x 76517525 x 153035125 x 30607127 x 30125241 x 15875635 x 60251205 x 3175
Negative: -1 x -3825875-5 x -765175-25 x -153035-125 x -30607-127 x -30125-241 x -15875-635 x -6025-1205 x -3175


How do I find the factor combinations of the number 3,825,875?

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 3,825,875, 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 3,825,875
-1 -3,825,875

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 3,825,875.

Example:
1 x 3,825,875 = 3,825,875
and
-1 x -3,825,875 = 3,825,875
Notice both answers equal 3,825,875

With that explanation out of the way, let's continue. Next, we take the number 3,825,875 and divide it by 2:

3,825,875 ÷ 2 = 1,912,937.5

If the quotient is a whole number, then 2 and 1,912,937.5 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 3,825,875
-1 -3,825,875

Now, we try dividing 3,825,875 by 3:

3,825,875 ÷ 3 = 1,275,291.6667

If the quotient is a whole number, then 3 and 1,275,291.6667 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 3,825,875
-1 -3,825,875

Let's try dividing by 4:

3,825,875 ÷ 4 = 956,468.75

If the quotient is a whole number, then 4 and 956,468.75 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 3,825,875
-1 3,825,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251272416351,2053,1756,02515,87530,12530,607153,035765,1753,825,875
-1-5-25-125-127-241-635-1,205-3,175-6,025-15,875-30,125-30,607-153,035-765,175-3,825,875

More Examples

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