Q: What are the factor combinations of the number 60,015,487?

 A:
Positive:   1 x 600154877 x 857364123 x 260936943 x 1395709161 x 372767301 x 199387989 x 606836923 x 8669
Negative: -1 x -60015487-7 x -8573641-23 x -2609369-43 x -1395709-161 x -372767-301 x -199387-989 x -60683-6923 x -8669


How do I find the factor combinations of the number 60,015,487?

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 60,015,487, 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 60,015,487
-1 -60,015,487

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 60,015,487.

Example:
1 x 60,015,487 = 60,015,487
and
-1 x -60,015,487 = 60,015,487
Notice both answers equal 60,015,487

With that explanation out of the way, let's continue. Next, we take the number 60,015,487 and divide it by 2:

60,015,487 ÷ 2 = 30,007,743.5

If the quotient is a whole number, then 2 and 30,007,743.5 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 60,015,487
-1 -60,015,487

Now, we try dividing 60,015,487 by 3:

60,015,487 ÷ 3 = 20,005,162.3333

If the quotient is a whole number, then 3 and 20,005,162.3333 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 60,015,487
-1 -60,015,487

Let's try dividing by 4:

60,015,487 ÷ 4 = 15,003,871.75

If the quotient is a whole number, then 4 and 15,003,871.75 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 60,015,487
-1 60,015,487
Keep dividing by the next highest number until you cannot divide anymore.

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

1723431613019896,9238,66960,683199,387372,7671,395,7092,609,3698,573,64160,015,487
-1-7-23-43-161-301-989-6,923-8,669-60,683-199,387-372,767-1,395,709-2,609,369-8,573,641-60,015,487

More Examples

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