Q: What are the factor combinations of the number 562,436,651?

 A:
Positive:   1 x 5624366517 x 8034809319 x 2960192949 x 11478299133 x 4228847343 x 1639757931 x 6041212401 x 2342516517 x 8630312329 x 45619
Negative: -1 x -562436651-7 x -80348093-19 x -29601929-49 x -11478299-133 x -4228847-343 x -1639757-931 x -604121-2401 x -234251-6517 x -86303-12329 x -45619


How do I find the factor combinations of the number 562,436,651?

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 562,436,651, 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.

1 562,436,651
-1 -562,436,651

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 562,436,651.

Example:
1 x 562,436,651 = 562,436,651
and
-1 x -562,436,651 = 562,436,651
Notice both answers equal 562,436,651

With that explanation out of the way, let's continue. Next, we take the number 562,436,651 and divide it by 2:

562,436,651 ÷ 2 = 281,218,325.5

If the quotient is a whole number, then 2 and 281,218,325.5 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:

1 562,436,651
-1 -562,436,651

Now, we try dividing 562,436,651 by 3:

562,436,651 ÷ 3 = 187,478,883.6667

If the quotient is a whole number, then 3 and 187,478,883.6667 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:

1 562,436,651
-1 -562,436,651

Let's try dividing by 4:

562,436,651 ÷ 4 = 140,609,162.75

If the quotient is a whole number, then 4 and 140,609,162.75 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:

1 562,436,651
-1 562,436,651
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491333439312,4016,51712,32945,61986,303234,251604,1211,639,7574,228,84711,478,29929,601,92980,348,093562,436,651
-1-7-19-49-133-343-931-2,401-6,517-12,329-45,619-86,303-234,251-604,121-1,639,757-4,228,847-11,478,299-29,601,929-80,348,093-562,436,651

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