Q: What are the factor combinations of the number 5,007,925?

 A:
Positive:   1 x 50079255 x 100158513 x 38522519 x 26357525 x 20031765 x 7704595 x 52715247 x 20275325 x 15409475 x 10543811 x 61751235 x 4055
Negative: -1 x -5007925-5 x -1001585-13 x -385225-19 x -263575-25 x -200317-65 x -77045-95 x -52715-247 x -20275-325 x -15409-475 x -10543-811 x -6175-1235 x -4055


How do I find the factor combinations of the number 5,007,925?

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 5,007,925, 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 5,007,925
-1 -5,007,925

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 5,007,925.

Example:
1 x 5,007,925 = 5,007,925
and
-1 x -5,007,925 = 5,007,925
Notice both answers equal 5,007,925

With that explanation out of the way, let's continue. Next, we take the number 5,007,925 and divide it by 2:

5,007,925 ÷ 2 = 2,503,962.5

If the quotient is a whole number, then 2 and 2,503,962.5 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 5,007,925
-1 -5,007,925

Now, we try dividing 5,007,925 by 3:

5,007,925 ÷ 3 = 1,669,308.3333

If the quotient is a whole number, then 3 and 1,669,308.3333 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 5,007,925
-1 -5,007,925

Let's try dividing by 4:

5,007,925 ÷ 4 = 1,251,981.25

If the quotient is a whole number, then 4 and 1,251,981.25 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 5,007,925
-1 5,007,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254758111,2354,0556,17510,54315,40920,27552,71577,045200,317263,575385,2251,001,5855,007,925
-1-5-13-19-25-65-95-247-325-475-811-1,235-4,055-6,175-10,543-15,409-20,275-52,715-77,045-200,317-263,575-385,225-1,001,585-5,007,925

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