Q: What are the factor combinations of the number 43,014,499?

 A:
Positive:   1 x 4301449911 x 391040919 x 2263921209 x 205811277 x 155287743 x 578933047 x 141175263 x 8173
Negative: -1 x -43014499-11 x -3910409-19 x -2263921-209 x -205811-277 x -155287-743 x -57893-3047 x -14117-5263 x -8173


How do I find the factor combinations of the number 43,014,499?

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 43,014,499, 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 43,014,499
-1 -43,014,499

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 43,014,499.

Example:
1 x 43,014,499 = 43,014,499
and
-1 x -43,014,499 = 43,014,499
Notice both answers equal 43,014,499

With that explanation out of the way, let's continue. Next, we take the number 43,014,499 and divide it by 2:

43,014,499 ÷ 2 = 21,507,249.5

If the quotient is a whole number, then 2 and 21,507,249.5 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 43,014,499
-1 -43,014,499

Now, we try dividing 43,014,499 by 3:

43,014,499 ÷ 3 = 14,338,166.3333

If the quotient is a whole number, then 3 and 14,338,166.3333 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 43,014,499
-1 -43,014,499

Let's try dividing by 4:

43,014,499 ÷ 4 = 10,753,624.75

If the quotient is a whole number, then 4 and 10,753,624.75 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 43,014,499
-1 43,014,499
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092777433,0475,2638,17314,11757,893155,287205,8112,263,9213,910,40943,014,499
-1-11-19-209-277-743-3,047-5,263-8,173-14,117-57,893-155,287-205,811-2,263,921-3,910,409-43,014,499

More Examples

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