Q: What are the factor combinations of the number 139,195?

 A:
Positive:   1 x 1391955 x 278397 x 1988535 x 397741 x 339597 x 1435205 x 679287 x 485
Negative: -1 x -139195-5 x -27839-7 x -19885-35 x -3977-41 x -3395-97 x -1435-205 x -679-287 x -485


How do I find the factor combinations of the number 139,195?

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 139,195, 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.

1 139,195
-1 -139,195

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 139,195.

Example:
1 x 139,195 = 139,195
and
-1 x -139,195 = 139,195
Notice both answers equal 139,195

With that explanation out of the way, let's continue. Next, we take the number 139,195 and divide it by 2:

139,195 ÷ 2 = 69,597.5

If the quotient is a whole number, then 2 and 69,597.5 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:

1 139,195
-1 -139,195

Now, we try dividing 139,195 by 3:

139,195 ÷ 3 = 46,398.3333

If the quotient is a whole number, then 3 and 46,398.3333 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:

1 139,195
-1 -139,195

Let's try dividing by 4:

139,195 ÷ 4 = 34,798.75

If the quotient is a whole number, then 4 and 34,798.75 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:

1 139,195
-1 139,195
Keep dividing by the next highest number until you cannot divide anymore.

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

1573541972052874856791,4353,3953,97719,88527,839139,195
-1-5-7-35-41-97-205-287-485-679-1,435-3,395-3,977-19,885-27,839-139,195

More Examples

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