Q: What are the factor combinations of the number 418,015?

 A:
Positive:   1 x 4180155 x 8360313 x 3215559 x 708565 x 6431109 x 3835295 x 1417545 x 767
Negative: -1 x -418015-5 x -83603-13 x -32155-59 x -7085-65 x -6431-109 x -3835-295 x -1417-545 x -767


How do I find the factor combinations of the number 418,015?

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 418,015, 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.

1 418,015
-1 -418,015

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 418,015.

Example:
1 x 418,015 = 418,015
and
-1 x -418,015 = 418,015
Notice both answers equal 418,015

With that explanation out of the way, let's continue. Next, we take the number 418,015 and divide it by 2:

418,015 ÷ 2 = 209,007.5

If the quotient is a whole number, then 2 and 209,007.5 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:

1 418,015
-1 -418,015

Now, we try dividing 418,015 by 3:

418,015 ÷ 3 = 139,338.3333

If the quotient is a whole number, then 3 and 139,338.3333 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:

1 418,015
-1 -418,015

Let's try dividing by 4:

418,015 ÷ 4 = 104,503.75

If the quotient is a whole number, then 4 and 104,503.75 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:

1 418,015
-1 418,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151359651092955457671,4173,8356,4317,08532,15583,603418,015
-1-5-13-59-65-109-295-545-767-1,417-3,835-6,431-7,085-32,155-83,603-418,015

More Examples

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