Q: What are the factor combinations of the number 47,833,045?

 A:
Positive:   1 x 478330455 x 956660913 x 367946537 x 129278565 x 735893185 x 258557481 x 994452405 x 19889
Negative: -1 x -47833045-5 x -9566609-13 x -3679465-37 x -1292785-65 x -735893-185 x -258557-481 x -99445-2405 x -19889


How do I find the factor combinations of the number 47,833,045?

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 47,833,045, 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 47,833,045
-1 -47,833,045

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 47,833,045.

Example:
1 x 47,833,045 = 47,833,045
and
-1 x -47,833,045 = 47,833,045
Notice both answers equal 47,833,045

With that explanation out of the way, let's continue. Next, we take the number 47,833,045 and divide it by 2:

47,833,045 ÷ 2 = 23,916,522.5

If the quotient is a whole number, then 2 and 23,916,522.5 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 47,833,045
-1 -47,833,045

Now, we try dividing 47,833,045 by 3:

47,833,045 ÷ 3 = 15,944,348.3333

If the quotient is a whole number, then 3 and 15,944,348.3333 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 47,833,045
-1 -47,833,045

Let's try dividing by 4:

47,833,045 ÷ 4 = 11,958,261.25

If the quotient is a whole number, then 4 and 11,958,261.25 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 47,833,045
-1 47,833,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,40519,88999,445258,557735,8931,292,7853,679,4659,566,60947,833,045
-1-5-13-37-65-185-481-2,405-19,889-99,445-258,557-735,893-1,292,785-3,679,465-9,566,609-47,833,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,833,045:


Ask a Question