Q: What are the factor combinations of the number 42,453,311?

 A:
Positive:   1 x 4245331197 x 437663269 x 1578191627 x 26093
Negative: -1 x -42453311-97 x -437663-269 x -157819-1627 x -26093


How do I find the factor combinations of the number 42,453,311?

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 42,453,311, 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 42,453,311
-1 -42,453,311

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 42,453,311.

Example:
1 x 42,453,311 = 42,453,311
and
-1 x -42,453,311 = 42,453,311
Notice both answers equal 42,453,311

With that explanation out of the way, let's continue. Next, we take the number 42,453,311 and divide it by 2:

42,453,311 ÷ 2 = 21,226,655.5

If the quotient is a whole number, then 2 and 21,226,655.5 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 42,453,311
-1 -42,453,311

Now, we try dividing 42,453,311 by 3:

42,453,311 ÷ 3 = 14,151,103.6667

If the quotient is a whole number, then 3 and 14,151,103.6667 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 42,453,311
-1 -42,453,311

Let's try dividing by 4:

42,453,311 ÷ 4 = 10,613,327.75

If the quotient is a whole number, then 4 and 10,613,327.75 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 42,453,311
-1 42,453,311
Keep dividing by the next highest number until you cannot divide anymore.

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

1972691,62726,093157,819437,66342,453,311
-1-97-269-1,627-26,093-157,819-437,663-42,453,311

More Examples

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