Q: What are the factor combinations of the number 955,181?

 A:
Positive:   1 x 95518147 x 20323
Negative: -1 x -955181-47 x -20323


How do I find the factor combinations of the number 955,181?

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 955,181, 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.

1 955,181
-1 -955,181

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 955,181.

Example:
1 x 955,181 = 955,181
and
-1 x -955,181 = 955,181
Notice both answers equal 955,181

With that explanation out of the way, let's continue. Next, we take the number 955,181 and divide it by 2:

955,181 ÷ 2 = 477,590.5

If the quotient is a whole number, then 2 and 477,590.5 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:

1 955,181
-1 -955,181

Now, we try dividing 955,181 by 3:

955,181 ÷ 3 = 318,393.6667

If the quotient is a whole number, then 3 and 318,393.6667 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:

1 955,181
-1 -955,181

Let's try dividing by 4:

955,181 ÷ 4 = 238,795.25

If the quotient is a whole number, then 4 and 238,795.25 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:

1 955,181
-1 955,181
Keep dividing by the next highest number until you cannot divide anymore.

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

14720,323955,181
-1-47-20,323-955,181

More Examples

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