Q: What are the factor combinations of the number 18,015,145?

 A:
Positive:   1 x 180151455 x 36030291381 x 130452609 x 6905
Negative: -1 x -18015145-5 x -3603029-1381 x -13045-2609 x -6905


How do I find the factor combinations of the number 18,015,145?

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 18,015,145, 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 18,015,145
-1 -18,015,145

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 18,015,145.

Example:
1 x 18,015,145 = 18,015,145
and
-1 x -18,015,145 = 18,015,145
Notice both answers equal 18,015,145

With that explanation out of the way, let's continue. Next, we take the number 18,015,145 and divide it by 2:

18,015,145 ÷ 2 = 9,007,572.5

If the quotient is a whole number, then 2 and 9,007,572.5 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 18,015,145
-1 -18,015,145

Now, we try dividing 18,015,145 by 3:

18,015,145 ÷ 3 = 6,005,048.3333

If the quotient is a whole number, then 3 and 6,005,048.3333 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 18,015,145
-1 -18,015,145

Let's try dividing by 4:

18,015,145 ÷ 4 = 4,503,786.25

If the quotient is a whole number, then 4 and 4,503,786.25 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 18,015,145
-1 18,015,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151,3812,6096,90513,0453,603,02918,015,145
-1-5-1,381-2,609-6,905-13,045-3,603,029-18,015,145

More Examples

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