Q: What are the factor combinations of the number 13,370,995?

 A:
Positive:   1 x 133709955 x 267419911 x 121554555 x 243109
Negative: -1 x -13370995-5 x -2674199-11 x -1215545-55 x -243109


How do I find the factor combinations of the number 13,370,995?

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 13,370,995, 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 13,370,995
-1 -13,370,995

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 13,370,995.

Example:
1 x 13,370,995 = 13,370,995
and
-1 x -13,370,995 = 13,370,995
Notice both answers equal 13,370,995

With that explanation out of the way, let's continue. Next, we take the number 13,370,995 and divide it by 2:

13,370,995 ÷ 2 = 6,685,497.5

If the quotient is a whole number, then 2 and 6,685,497.5 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 13,370,995
-1 -13,370,995

Now, we try dividing 13,370,995 by 3:

13,370,995 ÷ 3 = 4,456,998.3333

If the quotient is a whole number, then 3 and 4,456,998.3333 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 13,370,995
-1 -13,370,995

Let's try dividing by 4:

13,370,995 ÷ 4 = 3,342,748.75

If the quotient is a whole number, then 4 and 3,342,748.75 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 13,370,995
-1 13,370,995
Keep dividing by the next highest number until you cannot divide anymore.

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

151155243,1091,215,5452,674,19913,370,995
-1-5-11-55-243,109-1,215,545-2,674,199-13,370,995

More Examples

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