Q: What are the factor combinations of the number 60,116,155?

 A:
Positive:   1 x 601161555 x 1202323111 x 546510555 x 1093021257 x 2339151285 x 467832827 x 212654253 x 14135
Negative: -1 x -60116155-5 x -12023231-11 x -5465105-55 x -1093021-257 x -233915-1285 x -46783-2827 x -21265-4253 x -14135


How do I find the factor combinations of the number 60,116,155?

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 60,116,155, 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 60,116,155
-1 -60,116,155

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 60,116,155.

Example:
1 x 60,116,155 = 60,116,155
and
-1 x -60,116,155 = 60,116,155
Notice both answers equal 60,116,155

With that explanation out of the way, let's continue. Next, we take the number 60,116,155 and divide it by 2:

60,116,155 ÷ 2 = 30,058,077.5

If the quotient is a whole number, then 2 and 30,058,077.5 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 60,116,155
-1 -60,116,155

Now, we try dividing 60,116,155 by 3:

60,116,155 ÷ 3 = 20,038,718.3333

If the quotient is a whole number, then 3 and 20,038,718.3333 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 60,116,155
-1 -60,116,155

Let's try dividing by 4:

60,116,155 ÷ 4 = 15,029,038.75

If the quotient is a whole number, then 4 and 15,029,038.75 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 60,116,155
-1 60,116,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552571,2852,8274,25314,13521,26546,783233,9151,093,0215,465,10512,023,23160,116,155
-1-5-11-55-257-1,285-2,827-4,253-14,135-21,265-46,783-233,915-1,093,021-5,465,105-12,023,231-60,116,155

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