Q: What are the factor combinations of the number 18,012,625?

 A:
Positive:   1 x 180126255 x 360252525 x 72050529 x 621125125 x 144101145 x 124225725 x 248453625 x 4969
Negative: -1 x -18012625-5 x -3602525-25 x -720505-29 x -621125-125 x -144101-145 x -124225-725 x -24845-3625 x -4969


How do I find the factor combinations of the number 18,012,625?

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 18,012,625, 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 18,012,625
-1 -18,012,625

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 18,012,625.

Example:
1 x 18,012,625 = 18,012,625
and
-1 x -18,012,625 = 18,012,625
Notice both answers equal 18,012,625

With that explanation out of the way, let's continue. Next, we take the number 18,012,625 and divide it by 2:

18,012,625 ÷ 2 = 9,006,312.5

If the quotient is a whole number, then 2 and 9,006,312.5 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 18,012,625
-1 -18,012,625

Now, we try dividing 18,012,625 by 3:

18,012,625 ÷ 3 = 6,004,208.3333

If the quotient is a whole number, then 3 and 6,004,208.3333 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 18,012,625
-1 -18,012,625

Let's try dividing by 4:

18,012,625 ÷ 4 = 4,503,156.25

If the quotient is a whole number, then 4 and 4,503,156.25 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 18,012,625
-1 18,012,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251457253,6254,96924,845124,225144,101621,125720,5053,602,52518,012,625
-1-5-25-29-125-145-725-3,625-4,969-24,845-124,225-144,101-621,125-720,505-3,602,525-18,012,625

More Examples

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