Q: What are the factor combinations of the number 953,788?

 A:
Positive:   1 x 9537882 x 4768944 x 23844711 x 8670822 x 4335444 x 2167753 x 17996106 x 8998212 x 4499409 x 2332583 x 1636818 x 1166
Negative: -1 x -953788-2 x -476894-4 x -238447-11 x -86708-22 x -43354-44 x -21677-53 x -17996-106 x -8998-212 x -4499-409 x -2332-583 x -1636-818 x -1166


How do I find the factor combinations of the number 953,788?

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 953,788, 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.

1 953,788
-1 -953,788

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 953,788.

Example:
1 x 953,788 = 953,788
and
-1 x -953,788 = 953,788
Notice both answers equal 953,788

With that explanation out of the way, let's continue. Next, we take the number 953,788 and divide it by 2:

953,788 ÷ 2 = 476,894

If the quotient is a whole number, then 2 and 476,894 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 476,894 953,788
-1 -2 -476,894 -953,788

Now, we try dividing 953,788 by 3:

953,788 ÷ 3 = 317,929.3333

If the quotient is a whole number, then 3 and 317,929.3333 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 2 476,894 953,788
-1 -2 -476,894 -953,788

Let's try dividing by 4:

953,788 ÷ 4 = 238,447

If the quotient is a whole number, then 4 and 238,447 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 238,447 476,894 953,788
-1 -2 -4 -238,447 -476,894 953,788
Keep dividing by the next highest number until you cannot divide anymore.

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

124112244531062124095838181,1661,6362,3324,4998,99817,99621,67743,35486,708238,447476,894953,788
-1-2-4-11-22-44-53-106-212-409-583-818-1,166-1,636-2,332-4,499-8,998-17,996-21,677-43,354-86,708-238,447-476,894-953,788

More Examples

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