Q: What are the factor combinations of the number 60,344,755?

 A:
Positive:   1 x 603447555 x 1206895123 x 262368531 x 1946605115 x 524737155 x 389321713 x 846353565 x 16927
Negative: -1 x -60344755-5 x -12068951-23 x -2623685-31 x -1946605-115 x -524737-155 x -389321-713 x -84635-3565 x -16927


How do I find the factor combinations of the number 60,344,755?

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 60,344,755, 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 60,344,755
-1 -60,344,755

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 60,344,755.

Example:
1 x 60,344,755 = 60,344,755
and
-1 x -60,344,755 = 60,344,755
Notice both answers equal 60,344,755

With that explanation out of the way, let's continue. Next, we take the number 60,344,755 and divide it by 2:

60,344,755 ÷ 2 = 30,172,377.5

If the quotient is a whole number, then 2 and 30,172,377.5 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 60,344,755
-1 -60,344,755

Now, we try dividing 60,344,755 by 3:

60,344,755 ÷ 3 = 20,114,918.3333

If the quotient is a whole number, then 3 and 20,114,918.3333 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 60,344,755
-1 -60,344,755

Let's try dividing by 4:

60,344,755 ÷ 4 = 15,086,188.75

If the quotient is a whole number, then 4 and 15,086,188.75 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 60,344,755
-1 60,344,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,56516,92784,635389,321524,7371,946,6052,623,68512,068,95160,344,755
-1-5-23-31-115-155-713-3,565-16,927-84,635-389,321-524,737-1,946,605-2,623,685-12,068,951-60,344,755

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