Q: What are the factor combinations of the number 53,253,367?

 A:
Positive:   1 x 5325336717 x 313255129 x 1836323109 x 488563493 x 108019991 x 537371853 x 287393161 x 16847
Negative: -1 x -53253367-17 x -3132551-29 x -1836323-109 x -488563-493 x -108019-991 x -53737-1853 x -28739-3161 x -16847


How do I find the factor combinations of the number 53,253,367?

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 53,253,367, 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 53,253,367
-1 -53,253,367

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 53,253,367.

Example:
1 x 53,253,367 = 53,253,367
and
-1 x -53,253,367 = 53,253,367
Notice both answers equal 53,253,367

With that explanation out of the way, let's continue. Next, we take the number 53,253,367 and divide it by 2:

53,253,367 ÷ 2 = 26,626,683.5

If the quotient is a whole number, then 2 and 26,626,683.5 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 53,253,367
-1 -53,253,367

Now, we try dividing 53,253,367 by 3:

53,253,367 ÷ 3 = 17,751,122.3333

If the quotient is a whole number, then 3 and 17,751,122.3333 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 53,253,367
-1 -53,253,367

Let's try dividing by 4:

53,253,367 ÷ 4 = 13,313,341.75

If the quotient is a whole number, then 4 and 13,313,341.75 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 53,253,367
-1 53,253,367
Keep dividing by the next highest number until you cannot divide anymore.

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

117291094939911,8533,16116,84728,73953,737108,019488,5631,836,3233,132,55153,253,367
-1-17-29-109-493-991-1,853-3,161-16,847-28,739-53,737-108,019-488,563-1,836,323-3,132,551-53,253,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 53,253,367:


Ask a Question