Q: What are the factor combinations of the number 53,693?

 A:
Positive:   1 x 53693
Negative: -1 x -53693


How do I find the factor combinations of the number 53,693?

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 53,693, 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 53,693
-1 -53,693

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 53,693.

Example:
1 x 53,693 = 53,693
and
-1 x -53,693 = 53,693
Notice both answers equal 53,693

With that explanation out of the way, let's continue. Next, we take the number 53,693 and divide it by 2:

53,693 ÷ 2 = 26,846.5

If the quotient is a whole number, then 2 and 26,846.5 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 53,693
-1 -53,693

Now, we try dividing 53,693 by 3:

53,693 ÷ 3 = 17,897.6667

If the quotient is a whole number, then 3 and 17,897.6667 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 53,693
-1 -53,693

Let's try dividing by 4:

53,693 ÷ 4 = 13,423.25

If the quotient is a whole number, then 4 and 13,423.25 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 53,693
-1 53,693
Keep dividing by the next highest number until you cannot divide anymore.

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

153,693
-1-53,693

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 53,693:


Ask a Question