Q: What are the factor combinations of the number 389,795?

 A:
Positive:   1 x 3897955 x 779597 x 5568535 x 1113737 x 1053543 x 906549 x 7955185 x 2107215 x 1813245 x 1591259 x 1505301 x 1295
Negative: -1 x -389795-5 x -77959-7 x -55685-35 x -11137-37 x -10535-43 x -9065-49 x -7955-185 x -2107-215 x -1813-245 x -1591-259 x -1505-301 x -1295


How do I find the factor combinations of the number 389,795?

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 389,795, 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.

1 389,795
-1 -389,795

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 389,795.

Example:
1 x 389,795 = 389,795
and
-1 x -389,795 = 389,795
Notice both answers equal 389,795

With that explanation out of the way, let's continue. Next, we take the number 389,795 and divide it by 2:

389,795 ÷ 2 = 194,897.5

If the quotient is a whole number, then 2 and 194,897.5 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:

1 389,795
-1 -389,795

Now, we try dividing 389,795 by 3:

389,795 ÷ 3 = 129,931.6667

If the quotient is a whole number, then 3 and 129,931.6667 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:

1 389,795
-1 -389,795

Let's try dividing by 4:

389,795 ÷ 4 = 97,448.75

If the quotient is a whole number, then 4 and 97,448.75 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:

1 389,795
-1 389,795
Keep dividing by the next highest number until you cannot divide anymore.

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

157353743491852152452593011,2951,5051,5911,8132,1077,9559,06510,53511,13755,68577,959389,795
-1-5-7-35-37-43-49-185-215-245-259-301-1,295-1,505-1,591-1,813-2,107-7,955-9,065-10,535-11,137-55,685-77,959-389,795

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