Q: What are the factor combinations of the number 42,401,113?

 A:
Positive:   1 x 4240111353 x 80002189 x 476417101 x 4198134717 x 89895353 x 7921
Negative: -1 x -42401113-53 x -800021-89 x -476417-101 x -419813-4717 x -8989-5353 x -7921


How do I find the factor combinations of the number 42,401,113?

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 42,401,113, 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 42,401,113
-1 -42,401,113

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 42,401,113.

Example:
1 x 42,401,113 = 42,401,113
and
-1 x -42,401,113 = 42,401,113
Notice both answers equal 42,401,113

With that explanation out of the way, let's continue. Next, we take the number 42,401,113 and divide it by 2:

42,401,113 ÷ 2 = 21,200,556.5

If the quotient is a whole number, then 2 and 21,200,556.5 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 42,401,113
-1 -42,401,113

Now, we try dividing 42,401,113 by 3:

42,401,113 ÷ 3 = 14,133,704.3333

If the quotient is a whole number, then 3 and 14,133,704.3333 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 42,401,113
-1 -42,401,113

Let's try dividing by 4:

42,401,113 ÷ 4 = 10,600,278.25

If the quotient is a whole number, then 4 and 10,600,278.25 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 42,401,113
-1 42,401,113
Keep dividing by the next highest number until you cannot divide anymore.

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

153891014,7175,3537,9218,989419,813476,417800,02142,401,113
-1-53-89-101-4,717-5,353-7,921-8,989-419,813-476,417-800,021-42,401,113

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,401,113:


Ask a Question