Q: What are the factor combinations of the number 3,860,425?

 A:
Positive:   1 x 38604255 x 77208525 x 154417
Negative: -1 x -3860425-5 x -772085-25 x -154417


How do I find the factor combinations of the number 3,860,425?

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 3,860,425, 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 3,860,425
-1 -3,860,425

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 3,860,425.

Example:
1 x 3,860,425 = 3,860,425
and
-1 x -3,860,425 = 3,860,425
Notice both answers equal 3,860,425

With that explanation out of the way, let's continue. Next, we take the number 3,860,425 and divide it by 2:

3,860,425 ÷ 2 = 1,930,212.5

If the quotient is a whole number, then 2 and 1,930,212.5 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 3,860,425
-1 -3,860,425

Now, we try dividing 3,860,425 by 3:

3,860,425 ÷ 3 = 1,286,808.3333

If the quotient is a whole number, then 3 and 1,286,808.3333 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 3,860,425
-1 -3,860,425

Let's try dividing by 4:

3,860,425 ÷ 4 = 965,106.25

If the quotient is a whole number, then 4 and 965,106.25 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 3,860,425
-1 3,860,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525154,417772,0853,860,425
-1-5-25-154,417-772,085-3,860,425

More Examples

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