Q: What are the factor combinations of the number 18,046,325?

 A:
Positive:   1 x 180463255 x 360926511 x 164057525 x 72185355 x 328115137 x 131725275 x 65623479 x 37675685 x 263451507 x 119752395 x 75353425 x 5269
Negative: -1 x -18046325-5 x -3609265-11 x -1640575-25 x -721853-55 x -328115-137 x -131725-275 x -65623-479 x -37675-685 x -26345-1507 x -11975-2395 x -7535-3425 x -5269


How do I find the factor combinations of the number 18,046,325?

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 18,046,325, 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 18,046,325
-1 -18,046,325

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 18,046,325.

Example:
1 x 18,046,325 = 18,046,325
and
-1 x -18,046,325 = 18,046,325
Notice both answers equal 18,046,325

With that explanation out of the way, let's continue. Next, we take the number 18,046,325 and divide it by 2:

18,046,325 ÷ 2 = 9,023,162.5

If the quotient is a whole number, then 2 and 9,023,162.5 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 18,046,325
-1 -18,046,325

Now, we try dividing 18,046,325 by 3:

18,046,325 ÷ 3 = 6,015,441.6667

If the quotient is a whole number, then 3 and 6,015,441.6667 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 18,046,325
-1 -18,046,325

Let's try dividing by 4:

18,046,325 ÷ 4 = 4,511,581.25

If the quotient is a whole number, then 4 and 4,511,581.25 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 18,046,325
-1 18,046,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551372754796851,5072,3953,4255,2697,53511,97526,34537,67565,623131,725328,115721,8531,640,5753,609,26518,046,325
-1-5-11-25-55-137-275-479-685-1,507-2,395-3,425-5,269-7,535-11,975-26,345-37,675-65,623-131,725-328,115-721,853-1,640,575-3,609,265-18,046,325

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