Q: What are the factor combinations of the number 6,020,245?

 A:
Positive:   1 x 60202455 x 12040497 x 86003511 x 54729519 x 31685535 x 17200755 x 10945977 x 7818595 x 63371133 x 45265209 x 28805385 x 15637665 x 9053823 x 73151045 x 57611463 x 4115
Negative: -1 x -6020245-5 x -1204049-7 x -860035-11 x -547295-19 x -316855-35 x -172007-55 x -109459-77 x -78185-95 x -63371-133 x -45265-209 x -28805-385 x -15637-665 x -9053-823 x -7315-1045 x -5761-1463 x -4115


How do I find the factor combinations of the number 6,020,245?

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 6,020,245, 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 6,020,245
-1 -6,020,245

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 6,020,245.

Example:
1 x 6,020,245 = 6,020,245
and
-1 x -6,020,245 = 6,020,245
Notice both answers equal 6,020,245

With that explanation out of the way, let's continue. Next, we take the number 6,020,245 and divide it by 2:

6,020,245 ÷ 2 = 3,010,122.5

If the quotient is a whole number, then 2 and 3,010,122.5 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 6,020,245
-1 -6,020,245

Now, we try dividing 6,020,245 by 3:

6,020,245 ÷ 3 = 2,006,748.3333

If the quotient is a whole number, then 3 and 2,006,748.3333 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 6,020,245
-1 -6,020,245

Let's try dividing by 4:

6,020,245 ÷ 4 = 1,505,061.25

If the quotient is a whole number, then 4 and 1,505,061.25 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 6,020,245
-1 6,020,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1571119355577951332093856658231,0451,4634,1155,7617,3159,05315,63728,80545,26563,37178,185109,459172,007316,855547,295860,0351,204,0496,020,245
-1-5-7-11-19-35-55-77-95-133-209-385-665-823-1,045-1,463-4,115-5,761-7,315-9,053-15,637-28,805-45,265-63,371-78,185-109,459-172,007-316,855-547,295-860,035-1,204,049-6,020,245

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