Q: What are the factor combinations of the number 42,801,505?

 A:
Positive:   1 x 428015055 x 856030123 x 1860935115 x 372187223 x 1919351115 x 383871669 x 256455129 x 8345
Negative: -1 x -42801505-5 x -8560301-23 x -1860935-115 x -372187-223 x -191935-1115 x -38387-1669 x -25645-5129 x -8345


How do I find the factor combinations of the number 42,801,505?

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 42,801,505, 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 42,801,505
-1 -42,801,505

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 42,801,505.

Example:
1 x 42,801,505 = 42,801,505
and
-1 x -42,801,505 = 42,801,505
Notice both answers equal 42,801,505

With that explanation out of the way, let's continue. Next, we take the number 42,801,505 and divide it by 2:

42,801,505 ÷ 2 = 21,400,752.5

If the quotient is a whole number, then 2 and 21,400,752.5 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 42,801,505
-1 -42,801,505

Now, we try dividing 42,801,505 by 3:

42,801,505 ÷ 3 = 14,267,168.3333

If the quotient is a whole number, then 3 and 14,267,168.3333 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 42,801,505
-1 -42,801,505

Let's try dividing by 4:

42,801,505 ÷ 4 = 10,700,376.25

If the quotient is a whole number, then 4 and 10,700,376.25 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 42,801,505
-1 42,801,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152231,1151,6695,1298,34525,64538,387191,935372,1871,860,9358,560,30142,801,505
-1-5-23-115-223-1,115-1,669-5,129-8,345-25,645-38,387-191,935-372,187-1,860,935-8,560,301-42,801,505

More Examples

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