Q: What are the factor combinations of the number 595,380?

 A:
Positive:   1 x 5953802 x 2976903 x 1984604 x 1488455 x 1190766 x 9923010 x 5953812 x 4961515 x 3969220 x 2976930 x 1984660 x 9923
Negative: -1 x -595380-2 x -297690-3 x -198460-4 x -148845-5 x -119076-6 x -99230-10 x -59538-12 x -49615-15 x -39692-20 x -29769-30 x -19846-60 x -9923


How do I find the factor combinations of the number 595,380?

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 595,380, 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.

1 595,380
-1 -595,380

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 595,380.

Example:
1 x 595,380 = 595,380
and
-1 x -595,380 = 595,380
Notice both answers equal 595,380

With that explanation out of the way, let's continue. Next, we take the number 595,380 and divide it by 2:

595,380 ÷ 2 = 297,690

If the quotient is a whole number, then 2 and 297,690 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 2 297,690 595,380
-1 -2 -297,690 -595,380

Now, we try dividing 595,380 by 3:

595,380 ÷ 3 = 198,460

If the quotient is a whole number, then 3 and 198,460 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 3 198,460 297,690 595,380
-1 -2 -3 -198,460 -297,690 -595,380

Let's try dividing by 4:

595,380 ÷ 4 = 148,845

If the quotient is a whole number, then 4 and 148,845 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 3 4 148,845 198,460 297,690 595,380
-1 -2 -3 -4 -148,845 -198,460 -297,690 595,380
Keep dividing by the next highest number until you cannot divide anymore.

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

1234561012152030609,92319,84629,76939,69249,61559,53899,230119,076148,845198,460297,690595,380
-1-2-3-4-5-6-10-12-15-20-30-60-9,923-19,846-29,769-39,692-49,615-59,538-99,230-119,076-148,845-198,460-297,690-595,380

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