Q: What are the factor combinations of the number 59,839,987?

 A:
Positive:   1 x 5983998719 x 3149473127 x 4711812413 x 24799
Negative: -1 x -59839987-19 x -3149473-127 x -471181-2413 x -24799


How do I find the factor combinations of the number 59,839,987?

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 59,839,987, 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 59,839,987
-1 -59,839,987

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 59,839,987.

Example:
1 x 59,839,987 = 59,839,987
and
-1 x -59,839,987 = 59,839,987
Notice both answers equal 59,839,987

With that explanation out of the way, let's continue. Next, we take the number 59,839,987 and divide it by 2:

59,839,987 ÷ 2 = 29,919,993.5

If the quotient is a whole number, then 2 and 29,919,993.5 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 59,839,987
-1 -59,839,987

Now, we try dividing 59,839,987 by 3:

59,839,987 ÷ 3 = 19,946,662.3333

If the quotient is a whole number, then 3 and 19,946,662.3333 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 59,839,987
-1 -59,839,987

Let's try dividing by 4:

59,839,987 ÷ 4 = 14,959,996.75

If the quotient is a whole number, then 4 and 14,959,996.75 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 59,839,987
-1 59,839,987
Keep dividing by the next highest number until you cannot divide anymore.

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

1191272,41324,799471,1813,149,47359,839,987
-1-19-127-2,413-24,799-471,181-3,149,473-59,839,987

More Examples

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