Q: What are the factor combinations of the number 5,012,275?

 A:
Positive:   1 x 50122755 x 100245523 x 21792525 x 200491115 x 43585379 x 13225529 x 9475575 x 87171895 x 2645
Negative: -1 x -5012275-5 x -1002455-23 x -217925-25 x -200491-115 x -43585-379 x -13225-529 x -9475-575 x -8717-1895 x -2645


How do I find the factor combinations of the number 5,012,275?

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 5,012,275, 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 5,012,275
-1 -5,012,275

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 5,012,275.

Example:
1 x 5,012,275 = 5,012,275
and
-1 x -5,012,275 = 5,012,275
Notice both answers equal 5,012,275

With that explanation out of the way, let's continue. Next, we take the number 5,012,275 and divide it by 2:

5,012,275 ÷ 2 = 2,506,137.5

If the quotient is a whole number, then 2 and 2,506,137.5 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 5,012,275
-1 -5,012,275

Now, we try dividing 5,012,275 by 3:

5,012,275 ÷ 3 = 1,670,758.3333

If the quotient is a whole number, then 3 and 1,670,758.3333 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 5,012,275
-1 -5,012,275

Let's try dividing by 4:

5,012,275 ÷ 4 = 1,253,068.75

If the quotient is a whole number, then 4 and 1,253,068.75 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 5,012,275
-1 5,012,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251153795295751,8952,6458,7179,47513,22543,585200,491217,9251,002,4555,012,275
-1-5-23-25-115-379-529-575-1,895-2,645-8,717-9,475-13,225-43,585-200,491-217,925-1,002,455-5,012,275

More Examples

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