Q: What are the factor combinations of the number 137,425?

 A:
Positive:   1 x 1374255 x 2748523 x 597525 x 5497115 x 1195239 x 575
Negative: -1 x -137425-5 x -27485-23 x -5975-25 x -5497-115 x -1195-239 x -575


How do I find the factor combinations of the number 137,425?

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 137,425, 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.

1 137,425
-1 -137,425

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 137,425.

Example:
1 x 137,425 = 137,425
and
-1 x -137,425 = 137,425
Notice both answers equal 137,425

With that explanation out of the way, let's continue. Next, we take the number 137,425 and divide it by 2:

137,425 ÷ 2 = 68,712.5

If the quotient is a whole number, then 2 and 68,712.5 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:

1 137,425
-1 -137,425

Now, we try dividing 137,425 by 3:

137,425 ÷ 3 = 45,808.3333

If the quotient is a whole number, then 3 and 45,808.3333 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:

1 137,425
-1 -137,425

Let's try dividing by 4:

137,425 ÷ 4 = 34,356.25

If the quotient is a whole number, then 4 and 34,356.25 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:

1 137,425
-1 137,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251152395751,1955,4975,97527,485137,425
-1-5-23-25-115-239-575-1,195-5,497-5,975-27,485-137,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 137,425:


Ask a Question