Q: What are the factor combinations of the number 110,720,015?

 A:
Positive:   1 x 1107200155 x 221440037 x 1581714535 x 316342947 x 2355745235 x 471149329 x 3365351645 x 67307
Negative: -1 x -110720015-5 x -22144003-7 x -15817145-35 x -3163429-47 x -2355745-235 x -471149-329 x -336535-1645 x -67307


How do I find the factor combinations of the number 110,720,015?

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 110,720,015, 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.

1 110,720,015
-1 -110,720,015

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 110,720,015.

Example:
1 x 110,720,015 = 110,720,015
and
-1 x -110,720,015 = 110,720,015
Notice both answers equal 110,720,015

With that explanation out of the way, let's continue. Next, we take the number 110,720,015 and divide it by 2:

110,720,015 ÷ 2 = 55,360,007.5

If the quotient is a whole number, then 2 and 55,360,007.5 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:

1 110,720,015
-1 -110,720,015

Now, we try dividing 110,720,015 by 3:

110,720,015 ÷ 3 = 36,906,671.6667

If the quotient is a whole number, then 3 and 36,906,671.6667 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:

1 110,720,015
-1 -110,720,015

Let's try dividing by 4:

110,720,015 ÷ 4 = 27,680,003.75

If the quotient is a whole number, then 4 and 27,680,003.75 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:

1 110,720,015
-1 110,720,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,64567,307336,535471,1492,355,7453,163,42915,817,14522,144,003110,720,015
-1-5-7-35-47-235-329-1,645-67,307-336,535-471,149-2,355,745-3,163,429-15,817,145-22,144,003-110,720,015

More Examples

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