Q: What are the factor combinations of the number 549,372?

 A:
Positive:   1 x 5493722 x 2746863 x 1831244 x 1373436 x 9156212 x 4578117 x 3231634 x 1615851 x 1077268 x 8079102 x 5386204 x 2693
Negative: -1 x -549372-2 x -274686-3 x -183124-4 x -137343-6 x -91562-12 x -45781-17 x -32316-34 x -16158-51 x -10772-68 x -8079-102 x -5386-204 x -2693


How do I find the factor combinations of the number 549,372?

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 549,372, 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.

1 549,372
-1 -549,372

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 549,372.

Example:
1 x 549,372 = 549,372
and
-1 x -549,372 = 549,372
Notice both answers equal 549,372

With that explanation out of the way, let's continue. Next, we take the number 549,372 and divide it by 2:

549,372 ÷ 2 = 274,686

If the quotient is a whole number, then 2 and 274,686 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 2 274,686 549,372
-1 -2 -274,686 -549,372

Now, we try dividing 549,372 by 3:

549,372 ÷ 3 = 183,124

If the quotient is a whole number, then 3 and 183,124 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 3 183,124 274,686 549,372
-1 -2 -3 -183,124 -274,686 -549,372

Let's try dividing by 4:

549,372 ÷ 4 = 137,343

If the quotient is a whole number, then 4 and 137,343 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 4 137,343 183,124 274,686 549,372
-1 -2 -3 -4 -137,343 -183,124 -274,686 549,372
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612173451681022042,6935,3868,07910,77216,15832,31645,78191,562137,343183,124274,686549,372
-1-2-3-4-6-12-17-34-51-68-102-204-2,693-5,386-8,079-10,772-16,158-32,316-45,781-91,562-137,343-183,124-274,686-549,372

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