Q: What are the factor combinations of the number 18,015,473?

 A:
Positive:   1 x 180154737 x 257363959 x 305347181 x 99533241 x 74753413 x 436211267 x 142191687 x 10679
Negative: -1 x -18015473-7 x -2573639-59 x -305347-181 x -99533-241 x -74753-413 x -43621-1267 x -14219-1687 x -10679


How do I find the factor combinations of the number 18,015,473?

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 18,015,473, 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 18,015,473
-1 -18,015,473

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 18,015,473.

Example:
1 x 18,015,473 = 18,015,473
and
-1 x -18,015,473 = 18,015,473
Notice both answers equal 18,015,473

With that explanation out of the way, let's continue. Next, we take the number 18,015,473 and divide it by 2:

18,015,473 ÷ 2 = 9,007,736.5

If the quotient is a whole number, then 2 and 9,007,736.5 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 18,015,473
-1 -18,015,473

Now, we try dividing 18,015,473 by 3:

18,015,473 ÷ 3 = 6,005,157.6667

If the quotient is a whole number, then 3 and 6,005,157.6667 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 18,015,473
-1 -18,015,473

Let's try dividing by 4:

18,015,473 ÷ 4 = 4,503,868.25

If the quotient is a whole number, then 4 and 4,503,868.25 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 18,015,473
-1 18,015,473
Keep dividing by the next highest number until you cannot divide anymore.

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

17591812414131,2671,68710,67914,21943,62174,75399,533305,3472,573,63918,015,473
-1-7-59-181-241-413-1,267-1,687-10,679-14,219-43,621-74,753-99,533-305,347-2,573,639-18,015,473

More Examples

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