Q: What are the factor combinations of the number 4,975,475?

 A:
Positive:   1 x 49754755 x 99509517 x 29267523 x 21632525 x 19901985 x 58535115 x 43265391 x 12725425 x 11707509 x 9775575 x 86531955 x 2545
Negative: -1 x -4975475-5 x -995095-17 x -292675-23 x -216325-25 x -199019-85 x -58535-115 x -43265-391 x -12725-425 x -11707-509 x -9775-575 x -8653-1955 x -2545


How do I find the factor combinations of the number 4,975,475?

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 4,975,475, 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 4,975,475
-1 -4,975,475

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 4,975,475.

Example:
1 x 4,975,475 = 4,975,475
and
-1 x -4,975,475 = 4,975,475
Notice both answers equal 4,975,475

With that explanation out of the way, let's continue. Next, we take the number 4,975,475 and divide it by 2:

4,975,475 ÷ 2 = 2,487,737.5

If the quotient is a whole number, then 2 and 2,487,737.5 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 4,975,475
-1 -4,975,475

Now, we try dividing 4,975,475 by 3:

4,975,475 ÷ 3 = 1,658,491.6667

If the quotient is a whole number, then 3 and 1,658,491.6667 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 4,975,475
-1 -4,975,475

Let's try dividing by 4:

4,975,475 ÷ 4 = 1,243,868.75

If the quotient is a whole number, then 4 and 1,243,868.75 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 4,975,475
-1 4,975,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15172325851153914255095751,9552,5458,6539,77511,70712,72543,26558,535199,019216,325292,675995,0954,975,475
-1-5-17-23-25-85-115-391-425-509-575-1,955-2,545-8,653-9,775-11,707-12,725-43,265-58,535-199,019-216,325-292,675-995,095-4,975,475

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