Q: What are the factor combinations of the number 4,979,425?

 A:
Positive:   1 x 49794255 x 99588511 x 45267519 x 26207525 x 19917755 x 9053595 x 52415209 x 23825275 x 18107475 x 10483953 x 52251045 x 4765
Negative: -1 x -4979425-5 x -995885-11 x -452675-19 x -262075-25 x -199177-55 x -90535-95 x -52415-209 x -23825-275 x -18107-475 x -10483-953 x -5225-1045 x -4765


How do I find the factor combinations of the number 4,979,425?

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 4,979,425, 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 4,979,425
-1 -4,979,425

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 4,979,425.

Example:
1 x 4,979,425 = 4,979,425
and
-1 x -4,979,425 = 4,979,425
Notice both answers equal 4,979,425

With that explanation out of the way, let's continue. Next, we take the number 4,979,425 and divide it by 2:

4,979,425 ÷ 2 = 2,489,712.5

If the quotient is a whole number, then 2 and 2,489,712.5 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 4,979,425
-1 -4,979,425

Now, we try dividing 4,979,425 by 3:

4,979,425 ÷ 3 = 1,659,808.3333

If the quotient is a whole number, then 3 and 1,659,808.3333 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 4,979,425
-1 -4,979,425

Let's try dividing by 4:

4,979,425 ÷ 4 = 1,244,856.25

If the quotient is a whole number, then 4 and 1,244,856.25 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 4,979,425
-1 4,979,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754759531,0454,7655,22510,48318,10723,82552,41590,535199,177262,075452,675995,8854,979,425
-1-5-11-19-25-55-95-209-275-475-953-1,045-4,765-5,225-10,483-18,107-23,825-52,415-90,535-199,177-262,075-452,675-995,885-4,979,425

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