Q: What are the factor combinations of the number 52,335,671?

 A:
Positive:   1 x 5233567119 x 275450973 x 71692797 x 539543389 x 1345391387 x 377331843 x 283977081 x 7391
Negative: -1 x -52335671-19 x -2754509-73 x -716927-97 x -539543-389 x -134539-1387 x -37733-1843 x -28397-7081 x -7391


How do I find the factor combinations of the number 52,335,671?

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 52,335,671, 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 52,335,671
-1 -52,335,671

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 52,335,671.

Example:
1 x 52,335,671 = 52,335,671
and
-1 x -52,335,671 = 52,335,671
Notice both answers equal 52,335,671

With that explanation out of the way, let's continue. Next, we take the number 52,335,671 and divide it by 2:

52,335,671 ÷ 2 = 26,167,835.5

If the quotient is a whole number, then 2 and 26,167,835.5 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 52,335,671
-1 -52,335,671

Now, we try dividing 52,335,671 by 3:

52,335,671 ÷ 3 = 17,445,223.6667

If the quotient is a whole number, then 3 and 17,445,223.6667 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 52,335,671
-1 -52,335,671

Let's try dividing by 4:

52,335,671 ÷ 4 = 13,083,917.75

If the quotient is a whole number, then 4 and 13,083,917.75 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 52,335,671
-1 52,335,671
Keep dividing by the next highest number until you cannot divide anymore.

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

11973973891,3871,8437,0817,39128,39737,733134,539539,543716,9272,754,50952,335,671
-1-19-73-97-389-1,387-1,843-7,081-7,391-28,397-37,733-134,539-539,543-716,927-2,754,509-52,335,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 52,335,671:


Ask a Question