Q: What are the factor combinations of the number 697,375?

 A:
Positive:   1 x 6973755 x 1394757 x 9962525 x 2789535 x 19925125 x 5579175 x 3985797 x 875
Negative: -1 x -697375-5 x -139475-7 x -99625-25 x -27895-35 x -19925-125 x -5579-175 x -3985-797 x -875


How do I find the factor combinations of the number 697,375?

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 697,375, 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.

1 697,375
-1 -697,375

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 697,375.

Example:
1 x 697,375 = 697,375
and
-1 x -697,375 = 697,375
Notice both answers equal 697,375

With that explanation out of the way, let's continue. Next, we take the number 697,375 and divide it by 2:

697,375 ÷ 2 = 348,687.5

If the quotient is a whole number, then 2 and 348,687.5 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:

1 697,375
-1 -697,375

Now, we try dividing 697,375 by 3:

697,375 ÷ 3 = 232,458.3333

If the quotient is a whole number, then 3 and 232,458.3333 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:

1 697,375
-1 -697,375

Let's try dividing by 4:

697,375 ÷ 4 = 174,343.75

If the quotient is a whole number, then 4 and 174,343.75 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:

1 697,375
-1 697,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251757978753,9855,57919,92527,89599,625139,475697,375
-1-5-7-25-35-125-175-797-875-3,985-5,579-19,925-27,895-99,625-139,475-697,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 697,375:


Ask a Question