Q: What are the factor combinations of the number 8,045,365?

 A:
Positive:   1 x 80453655 x 160907371 x 113315131 x 61415173 x 46505355 x 22663655 x 12283865 x 9301
Negative: -1 x -8045365-5 x -1609073-71 x -113315-131 x -61415-173 x -46505-355 x -22663-655 x -12283-865 x -9301


How do I find the factor combinations of the number 8,045,365?

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 8,045,365, 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 8,045,365
-1 -8,045,365

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 8,045,365.

Example:
1 x 8,045,365 = 8,045,365
and
-1 x -8,045,365 = 8,045,365
Notice both answers equal 8,045,365

With that explanation out of the way, let's continue. Next, we take the number 8,045,365 and divide it by 2:

8,045,365 ÷ 2 = 4,022,682.5

If the quotient is a whole number, then 2 and 4,022,682.5 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 8,045,365
-1 -8,045,365

Now, we try dividing 8,045,365 by 3:

8,045,365 ÷ 3 = 2,681,788.3333

If the quotient is a whole number, then 3 and 2,681,788.3333 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 8,045,365
-1 -8,045,365

Let's try dividing by 4:

8,045,365 ÷ 4 = 2,011,341.25

If the quotient is a whole number, then 4 and 2,011,341.25 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 8,045,365
-1 8,045,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15711311733556558659,30112,28322,66346,50561,415113,3151,609,0738,045,365
-1-5-71-131-173-355-655-865-9,301-12,283-22,663-46,505-61,415-113,315-1,609,073-8,045,365

More Examples

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