Q: What are the factor combinations of the number 5,374,663?

 A:
Positive:   1 x 53746637 x 76780919 x 28287723 x 23368149 x 109687133 x 40411161 x 33383251 x 21413437 x 12299931 x 57731127 x 47691757 x 3059
Negative: -1 x -5374663-7 x -767809-19 x -282877-23 x -233681-49 x -109687-133 x -40411-161 x -33383-251 x -21413-437 x -12299-931 x -5773-1127 x -4769-1757 x -3059


How do I find the factor combinations of the number 5,374,663?

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 5,374,663, 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 5,374,663
-1 -5,374,663

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 5,374,663.

Example:
1 x 5,374,663 = 5,374,663
and
-1 x -5,374,663 = 5,374,663
Notice both answers equal 5,374,663

With that explanation out of the way, let's continue. Next, we take the number 5,374,663 and divide it by 2:

5,374,663 ÷ 2 = 2,687,331.5

If the quotient is a whole number, then 2 and 2,687,331.5 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 5,374,663
-1 -5,374,663

Now, we try dividing 5,374,663 by 3:

5,374,663 ÷ 3 = 1,791,554.3333

If the quotient is a whole number, then 3 and 1,791,554.3333 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 5,374,663
-1 -5,374,663

Let's try dividing by 4:

5,374,663 ÷ 4 = 1,343,665.75

If the quotient is a whole number, then 4 and 1,343,665.75 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 5,374,663
-1 5,374,663
Keep dividing by the next highest number until you cannot divide anymore.

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

171923491331612514379311,1271,7573,0594,7695,77312,29921,41333,38340,411109,687233,681282,877767,8095,374,663
-1-7-19-23-49-133-161-251-437-931-1,127-1,757-3,059-4,769-5,773-12,299-21,413-33,383-40,411-109,687-233,681-282,877-767,809-5,374,663

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