Q: What are the factor combinations of the number 42,314,111?

 A:
Positive:   1 x 423141117 x 6044873317 x 1334832219 x 19069
Negative: -1 x -42314111-7 x -6044873-317 x -133483-2219 x -19069


How do I find the factor combinations of the number 42,314,111?

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 42,314,111, 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 42,314,111
-1 -42,314,111

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 42,314,111.

Example:
1 x 42,314,111 = 42,314,111
and
-1 x -42,314,111 = 42,314,111
Notice both answers equal 42,314,111

With that explanation out of the way, let's continue. Next, we take the number 42,314,111 and divide it by 2:

42,314,111 ÷ 2 = 21,157,055.5

If the quotient is a whole number, then 2 and 21,157,055.5 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 42,314,111
-1 -42,314,111

Now, we try dividing 42,314,111 by 3:

42,314,111 ÷ 3 = 14,104,703.6667

If the quotient is a whole number, then 3 and 14,104,703.6667 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 42,314,111
-1 -42,314,111

Let's try dividing by 4:

42,314,111 ÷ 4 = 10,578,527.75

If the quotient is a whole number, then 4 and 10,578,527.75 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 42,314,111
-1 42,314,111
Keep dividing by the next highest number until you cannot divide anymore.

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

173172,21919,069133,4836,044,87342,314,111
-1-7-317-2,219-19,069-133,483-6,044,873-42,314,111

More Examples

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