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

 A:
Positive:   1 x 38758755 x 77517525 x 155035101 x 38375125 x 31007307 x 12625505 x 76751535 x 2525
Negative: -1 x -3875875-5 x -775175-25 x -155035-101 x -38375-125 x -31007-307 x -12625-505 x -7675-1535 x -2525


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

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

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 3,875,875.

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

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

3,875,875 ÷ 2 = 1,937,937.5

If the quotient is a whole number, then 2 and 1,937,937.5 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 3,875,875
-1 -3,875,875

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

3,875,875 ÷ 3 = 1,291,958.3333

If the quotient is a whole number, then 3 and 1,291,958.3333 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 3,875,875
-1 -3,875,875

Let's try dividing by 4:

3,875,875 ÷ 4 = 968,968.75

If the quotient is a whole number, then 4 and 968,968.75 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 3,875,875
-1 3,875,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251011253075051,5352,5257,67512,62531,00738,375155,035775,1753,875,875
-1-5-25-101-125-307-505-1,535-2,525-7,675-12,625-31,007-38,375-155,035-775,175-3,875,875

More Examples

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