Q: What are the factor combinations of the number 554,532?

 A:
Positive:   1 x 5545322 x 2772663 x 1848444 x 1386336 x 9242211 x 5041212 x 4621122 x 2520633 x 1680444 x 1260366 x 8402132 x 4201
Negative: -1 x -554532-2 x -277266-3 x -184844-4 x -138633-6 x -92422-11 x -50412-12 x -46211-22 x -25206-33 x -16804-44 x -12603-66 x -8402-132 x -4201


How do I find the factor combinations of the number 554,532?

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 554,532, 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.

1 554,532
-1 -554,532

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 554,532.

Example:
1 x 554,532 = 554,532
and
-1 x -554,532 = 554,532
Notice both answers equal 554,532

With that explanation out of the way, let's continue. Next, we take the number 554,532 and divide it by 2:

554,532 ÷ 2 = 277,266

If the quotient is a whole number, then 2 and 277,266 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 2 277,266 554,532
-1 -2 -277,266 -554,532

Now, we try dividing 554,532 by 3:

554,532 ÷ 3 = 184,844

If the quotient is a whole number, then 3 and 184,844 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 3 184,844 277,266 554,532
-1 -2 -3 -184,844 -277,266 -554,532

Let's try dividing by 4:

554,532 ÷ 4 = 138,633

If the quotient is a whole number, then 4 and 138,633 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 4 138,633 184,844 277,266 554,532
-1 -2 -3 -4 -138,633 -184,844 -277,266 554,532
Keep dividing by the next highest number until you cannot divide anymore.

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

123461112223344661324,2018,40212,60316,80425,20646,21150,41292,422138,633184,844277,266554,532
-1-2-3-4-6-11-12-22-33-44-66-132-4,201-8,402-12,603-16,804-25,206-46,211-50,412-92,422-138,633-184,844-277,266-554,532

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