Q: What are the factor combinations of the number 697,265?

 A:
Positive:   1 x 6972655 x 13945337 x 18845185 x 3769
Negative: -1 x -697265-5 x -139453-37 x -18845-185 x -3769


How do I find the factor combinations of the number 697,265?

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 697,265, 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.

1 697,265
-1 -697,265

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 697,265.

Example:
1 x 697,265 = 697,265
and
-1 x -697,265 = 697,265
Notice both answers equal 697,265

With that explanation out of the way, let's continue. Next, we take the number 697,265 and divide it by 2:

697,265 ÷ 2 = 348,632.5

If the quotient is a whole number, then 2 and 348,632.5 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:

1 697,265
-1 -697,265

Now, we try dividing 697,265 by 3:

697,265 ÷ 3 = 232,421.6667

If the quotient is a whole number, then 3 and 232,421.6667 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:

1 697,265
-1 -697,265

Let's try dividing by 4:

697,265 ÷ 4 = 174,316.25

If the quotient is a whole number, then 4 and 174,316.25 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:

1 697,265
-1 697,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853,76918,845139,453697,265
-1-5-37-185-3,769-18,845-139,453-697,265

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 697,265:


Ask a Question