Q: What are the factor combinations of the number 47,938,759?

 A:
Positive:   1 x 4793875911 x 435806917 x 2819927187 x 256357269 x 178211953 x 503032959 x 162014573 x 10483
Negative: -1 x -47938759-11 x -4358069-17 x -2819927-187 x -256357-269 x -178211-953 x -50303-2959 x -16201-4573 x -10483


How do I find the factor combinations of the number 47,938,759?

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 47,938,759, 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 47,938,759
-1 -47,938,759

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 47,938,759.

Example:
1 x 47,938,759 = 47,938,759
and
-1 x -47,938,759 = 47,938,759
Notice both answers equal 47,938,759

With that explanation out of the way, let's continue. Next, we take the number 47,938,759 and divide it by 2:

47,938,759 ÷ 2 = 23,969,379.5

If the quotient is a whole number, then 2 and 23,969,379.5 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 47,938,759
-1 -47,938,759

Now, we try dividing 47,938,759 by 3:

47,938,759 ÷ 3 = 15,979,586.3333

If the quotient is a whole number, then 3 and 15,979,586.3333 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 47,938,759
-1 -47,938,759

Let's try dividing by 4:

47,938,759 ÷ 4 = 11,984,689.75

If the quotient is a whole number, then 4 and 11,984,689.75 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 47,938,759
-1 47,938,759
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872699532,9594,57310,48316,20150,303178,211256,3572,819,9274,358,06947,938,759
-1-11-17-187-269-953-2,959-4,573-10,483-16,201-50,303-178,211-256,357-2,819,927-4,358,069-47,938,759

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,938,759:


Ask a Question