Q: What are the factor combinations of the number 3,845,125?

 A:
Positive:   1 x 38451255 x 76902519 x 20237525 x 15380595 x 40475125 x 30761475 x 80951619 x 2375
Negative: -1 x -3845125-5 x -769025-19 x -202375-25 x -153805-95 x -40475-125 x -30761-475 x -8095-1619 x -2375


How do I find the factor combinations of the number 3,845,125?

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 3,845,125, 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 3,845,125
-1 -3,845,125

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 3,845,125.

Example:
1 x 3,845,125 = 3,845,125
and
-1 x -3,845,125 = 3,845,125
Notice both answers equal 3,845,125

With that explanation out of the way, let's continue. Next, we take the number 3,845,125 and divide it by 2:

3,845,125 ÷ 2 = 1,922,562.5

If the quotient is a whole number, then 2 and 1,922,562.5 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 3,845,125
-1 -3,845,125

Now, we try dividing 3,845,125 by 3:

3,845,125 ÷ 3 = 1,281,708.3333

If the quotient is a whole number, then 3 and 1,281,708.3333 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 3,845,125
-1 -3,845,125

Let's try dividing by 4:

3,845,125 ÷ 4 = 961,281.25

If the quotient is a whole number, then 4 and 961,281.25 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 3,845,125
-1 3,845,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254751,6192,3758,09530,76140,475153,805202,375769,0253,845,125
-1-5-19-25-95-125-475-1,619-2,375-8,095-30,761-40,475-153,805-202,375-769,025-3,845,125

More Examples

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