Q: What are the factor combinations of the number 43,422,301?

 A:
Positive:   1 x 4342230113 x 334017717 x 255425361 x 711841221 x 196481793 x 547571037 x 418733221 x 13481
Negative: -1 x -43422301-13 x -3340177-17 x -2554253-61 x -711841-221 x -196481-793 x -54757-1037 x -41873-3221 x -13481


How do I find the factor combinations of the number 43,422,301?

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 43,422,301, 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 43,422,301
-1 -43,422,301

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 43,422,301.

Example:
1 x 43,422,301 = 43,422,301
and
-1 x -43,422,301 = 43,422,301
Notice both answers equal 43,422,301

With that explanation out of the way, let's continue. Next, we take the number 43,422,301 and divide it by 2:

43,422,301 ÷ 2 = 21,711,150.5

If the quotient is a whole number, then 2 and 21,711,150.5 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 43,422,301
-1 -43,422,301

Now, we try dividing 43,422,301 by 3:

43,422,301 ÷ 3 = 14,474,100.3333

If the quotient is a whole number, then 3 and 14,474,100.3333 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 43,422,301
-1 -43,422,301

Let's try dividing by 4:

43,422,301 ÷ 4 = 10,855,575.25

If the quotient is a whole number, then 4 and 10,855,575.25 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 43,422,301
-1 43,422,301
Keep dividing by the next highest number until you cannot divide anymore.

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

11317612217931,0373,22113,48141,87354,757196,481711,8412,554,2533,340,17743,422,301
-1-13-17-61-221-793-1,037-3,221-13,481-41,873-54,757-196,481-711,841-2,554,253-3,340,177-43,422,301

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