Q: What are the factor combinations of the number 46,437,811?

 A:
Positive:   1 x 464378117 x 6633973839 x 553495873 x 7907
Negative: -1 x -46437811-7 x -6633973-839 x -55349-5873 x -7907


How do I find the factor combinations of the number 46,437,811?

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 46,437,811, 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 46,437,811
-1 -46,437,811

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 46,437,811.

Example:
1 x 46,437,811 = 46,437,811
and
-1 x -46,437,811 = 46,437,811
Notice both answers equal 46,437,811

With that explanation out of the way, let's continue. Next, we take the number 46,437,811 and divide it by 2:

46,437,811 ÷ 2 = 23,218,905.5

If the quotient is a whole number, then 2 and 23,218,905.5 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 46,437,811
-1 -46,437,811

Now, we try dividing 46,437,811 by 3:

46,437,811 ÷ 3 = 15,479,270.3333

If the quotient is a whole number, then 3 and 15,479,270.3333 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 46,437,811
-1 -46,437,811

Let's try dividing by 4:

46,437,811 ÷ 4 = 11,609,452.75

If the quotient is a whole number, then 4 and 11,609,452.75 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 46,437,811
-1 46,437,811
Keep dividing by the next highest number until you cannot divide anymore.

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

178395,8737,90755,3496,633,97346,437,811
-1-7-839-5,873-7,907-55,349-6,633,973-46,437,811

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,437,811:


Ask a Question