Q: What are the factor combinations of the number 46,473,167?

 A:
Positive:   1 x 4647316713 x 357485929 x 1602523131 x 354757377 x 123271941 x 493871703 x 272893799 x 12233
Negative: -1 x -46473167-13 x -3574859-29 x -1602523-131 x -354757-377 x -123271-941 x -49387-1703 x -27289-3799 x -12233


How do I find the factor combinations of the number 46,473,167?

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 46,473,167, 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 46,473,167
-1 -46,473,167

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 46,473,167.

Example:
1 x 46,473,167 = 46,473,167
and
-1 x -46,473,167 = 46,473,167
Notice both answers equal 46,473,167

With that explanation out of the way, let's continue. Next, we take the number 46,473,167 and divide it by 2:

46,473,167 ÷ 2 = 23,236,583.5

If the quotient is a whole number, then 2 and 23,236,583.5 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 46,473,167
-1 -46,473,167

Now, we try dividing 46,473,167 by 3:

46,473,167 ÷ 3 = 15,491,055.6667

If the quotient is a whole number, then 3 and 15,491,055.6667 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 46,473,167
-1 -46,473,167

Let's try dividing by 4:

46,473,167 ÷ 4 = 11,618,291.75

If the quotient is a whole number, then 4 and 11,618,291.75 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 46,473,167
-1 46,473,167
Keep dividing by the next highest number until you cannot divide anymore.

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

113291313779411,7033,79912,23327,28949,387123,271354,7571,602,5233,574,85946,473,167
-1-13-29-131-377-941-1,703-3,799-12,233-27,289-49,387-123,271-354,757-1,602,523-3,574,859-46,473,167

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,473,167:


Ask a Question