Q: What are the factor combinations of the number 13,149,995?

 A:
Positive:   1 x 131499955 x 262999919 x 69210595 x 138421149 x 88255745 x 17651929 x 141552831 x 4645
Negative: -1 x -13149995-5 x -2629999-19 x -692105-95 x -138421-149 x -88255-745 x -17651-929 x -14155-2831 x -4645


How do I find the factor combinations of the number 13,149,995?

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 13,149,995, 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 13,149,995
-1 -13,149,995

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 13,149,995.

Example:
1 x 13,149,995 = 13,149,995
and
-1 x -13,149,995 = 13,149,995
Notice both answers equal 13,149,995

With that explanation out of the way, let's continue. Next, we take the number 13,149,995 and divide it by 2:

13,149,995 ÷ 2 = 6,574,997.5

If the quotient is a whole number, then 2 and 6,574,997.5 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 13,149,995
-1 -13,149,995

Now, we try dividing 13,149,995 by 3:

13,149,995 ÷ 3 = 4,383,331.6667

If the quotient is a whole number, then 3 and 4,383,331.6667 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 13,149,995
-1 -13,149,995

Let's try dividing by 4:

13,149,995 ÷ 4 = 3,287,498.75

If the quotient is a whole number, then 4 and 3,287,498.75 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 13,149,995
-1 13,149,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951497459292,8314,64514,15517,65188,255138,421692,1052,629,99913,149,995
-1-5-19-95-149-745-929-2,831-4,645-14,155-17,651-88,255-138,421-692,105-2,629,999-13,149,995

More Examples

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