Q: What are the factor combinations of the number 60,311,335?

 A:
Positive:   1 x 603113355 x 120622677 x 861590535 x 1723181109 x 553315545 x 110663763 x 790453815 x 15809
Negative: -1 x -60311335-5 x -12062267-7 x -8615905-35 x -1723181-109 x -553315-545 x -110663-763 x -79045-3815 x -15809


How do I find the factor combinations of the number 60,311,335?

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 60,311,335, 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 60,311,335
-1 -60,311,335

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 60,311,335.

Example:
1 x 60,311,335 = 60,311,335
and
-1 x -60,311,335 = 60,311,335
Notice both answers equal 60,311,335

With that explanation out of the way, let's continue. Next, we take the number 60,311,335 and divide it by 2:

60,311,335 ÷ 2 = 30,155,667.5

If the quotient is a whole number, then 2 and 30,155,667.5 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 60,311,335
-1 -60,311,335

Now, we try dividing 60,311,335 by 3:

60,311,335 ÷ 3 = 20,103,778.3333

If the quotient is a whole number, then 3 and 20,103,778.3333 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 60,311,335
-1 -60,311,335

Let's try dividing by 4:

60,311,335 ÷ 4 = 15,077,833.75

If the quotient is a whole number, then 4 and 15,077,833.75 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 60,311,335
-1 60,311,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157351095457633,81515,80979,045110,663553,3151,723,1818,615,90512,062,26760,311,335
-1-5-7-35-109-545-763-3,815-15,809-79,045-110,663-553,315-1,723,181-8,615,905-12,062,267-60,311,335

More Examples

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