Q: What are the factor combinations of the number 48,062,987?

 A:
Positive:   1 x 480629877 x 6866141263 x 1827491841 x 26107
Negative: -1 x -48062987-7 x -6866141-263 x -182749-1841 x -26107


How do I find the factor combinations of the number 48,062,987?

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 48,062,987, 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 48,062,987
-1 -48,062,987

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 48,062,987.

Example:
1 x 48,062,987 = 48,062,987
and
-1 x -48,062,987 = 48,062,987
Notice both answers equal 48,062,987

With that explanation out of the way, let's continue. Next, we take the number 48,062,987 and divide it by 2:

48,062,987 ÷ 2 = 24,031,493.5

If the quotient is a whole number, then 2 and 24,031,493.5 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 48,062,987
-1 -48,062,987

Now, we try dividing 48,062,987 by 3:

48,062,987 ÷ 3 = 16,020,995.6667

If the quotient is a whole number, then 3 and 16,020,995.6667 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 48,062,987
-1 -48,062,987

Let's try dividing by 4:

48,062,987 ÷ 4 = 12,015,746.75

If the quotient is a whole number, then 4 and 12,015,746.75 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 48,062,987
-1 48,062,987
Keep dividing by the next highest number until you cannot divide anymore.

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

172631,84126,107182,7496,866,14148,062,987
-1-7-263-1,841-26,107-182,749-6,866,141-48,062,987

More Examples

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