Q: What are the factor combinations of the number 3,112,625?

 A:
Positive:   1 x 31126255 x 62252525 x 12450537 x 84125125 x 24901185 x 16825673 x 4625925 x 3365
Negative: -1 x -3112625-5 x -622525-25 x -124505-37 x -84125-125 x -24901-185 x -16825-673 x -4625-925 x -3365


How do I find the factor combinations of the number 3,112,625?

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 3,112,625, 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 3,112,625
-1 -3,112,625

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 3,112,625.

Example:
1 x 3,112,625 = 3,112,625
and
-1 x -3,112,625 = 3,112,625
Notice both answers equal 3,112,625

With that explanation out of the way, let's continue. Next, we take the number 3,112,625 and divide it by 2:

3,112,625 ÷ 2 = 1,556,312.5

If the quotient is a whole number, then 2 and 1,556,312.5 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 3,112,625
-1 -3,112,625

Now, we try dividing 3,112,625 by 3:

3,112,625 ÷ 3 = 1,037,541.6667

If the quotient is a whole number, then 3 and 1,037,541.6667 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 3,112,625
-1 -3,112,625

Let's try dividing by 4:

3,112,625 ÷ 4 = 778,156.25

If the quotient is a whole number, then 4 and 778,156.25 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 3,112,625
-1 3,112,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251856739253,3654,62516,82524,90184,125124,505622,5253,112,625
-1-5-25-37-125-185-673-925-3,365-4,625-16,825-24,901-84,125-124,505-622,525-3,112,625

More Examples

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