Q: What are the factor combinations of the number 60,060,517?

 A:
Positive:   1 x 6006051711 x 5460047113 x 531509211 x 284647229 x 2622731243 x 483192321 x 258772519 x 23843
Negative: -1 x -60060517-11 x -5460047-113 x -531509-211 x -284647-229 x -262273-1243 x -48319-2321 x -25877-2519 x -23843


How do I find the factor combinations of the number 60,060,517?

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 60,060,517, 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 60,060,517
-1 -60,060,517

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 60,060,517.

Example:
1 x 60,060,517 = 60,060,517
and
-1 x -60,060,517 = 60,060,517
Notice both answers equal 60,060,517

With that explanation out of the way, let's continue. Next, we take the number 60,060,517 and divide it by 2:

60,060,517 ÷ 2 = 30,030,258.5

If the quotient is a whole number, then 2 and 30,030,258.5 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 60,060,517
-1 -60,060,517

Now, we try dividing 60,060,517 by 3:

60,060,517 ÷ 3 = 20,020,172.3333

If the quotient is a whole number, then 3 and 20,020,172.3333 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 60,060,517
-1 -60,060,517

Let's try dividing by 4:

60,060,517 ÷ 4 = 15,015,129.25

If the quotient is a whole number, then 4 and 15,015,129.25 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 60,060,517
-1 60,060,517
Keep dividing by the next highest number until you cannot divide anymore.

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

1111132112291,2432,3212,51923,84325,87748,319262,273284,647531,5095,460,04760,060,517
-1-11-113-211-229-1,243-2,321-2,519-23,843-25,877-48,319-262,273-284,647-531,509-5,460,047-60,060,517

More Examples

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