Q: What are the factor combinations of the number 43,821,271?

 A:
Positive:   1 x 4382127113 x 337086771 x 617201197 x 222443241 x 181831923 x 474772561 x 171113133 x 13987
Negative: -1 x -43821271-13 x -3370867-71 x -617201-197 x -222443-241 x -181831-923 x -47477-2561 x -17111-3133 x -13987


How do I find the factor combinations of the number 43,821,271?

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 43,821,271, 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 43,821,271
-1 -43,821,271

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 43,821,271.

Example:
1 x 43,821,271 = 43,821,271
and
-1 x -43,821,271 = 43,821,271
Notice both answers equal 43,821,271

With that explanation out of the way, let's continue. Next, we take the number 43,821,271 and divide it by 2:

43,821,271 ÷ 2 = 21,910,635.5

If the quotient is a whole number, then 2 and 21,910,635.5 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 43,821,271
-1 -43,821,271

Now, we try dividing 43,821,271 by 3:

43,821,271 ÷ 3 = 14,607,090.3333

If the quotient is a whole number, then 3 and 14,607,090.3333 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 43,821,271
-1 -43,821,271

Let's try dividing by 4:

43,821,271 ÷ 4 = 10,955,317.75

If the quotient is a whole number, then 4 and 10,955,317.75 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 43,821,271
-1 43,821,271
Keep dividing by the next highest number until you cannot divide anymore.

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

113711972419232,5613,13313,98717,11147,477181,831222,443617,2013,370,86743,821,271
-1-13-71-197-241-923-2,561-3,133-13,987-17,111-47,477-181,831-222,443-617,201-3,370,867-43,821,271

More Examples

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