Q: What are the factor combinations of the number 134,224,015?

 A:
Positive:   1 x 1342240155 x 2684480389 x 1508135445 x 301627
Negative: -1 x -134224015-5 x -26844803-89 x -1508135-445 x -301627


How do I find the factor combinations of the number 134,224,015?

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 134,224,015, 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.

1 134,224,015
-1 -134,224,015

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 134,224,015.

Example:
1 x 134,224,015 = 134,224,015
and
-1 x -134,224,015 = 134,224,015
Notice both answers equal 134,224,015

With that explanation out of the way, let's continue. Next, we take the number 134,224,015 and divide it by 2:

134,224,015 ÷ 2 = 67,112,007.5

If the quotient is a whole number, then 2 and 67,112,007.5 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:

1 134,224,015
-1 -134,224,015

Now, we try dividing 134,224,015 by 3:

134,224,015 ÷ 3 = 44,741,338.3333

If the quotient is a whole number, then 3 and 44,741,338.3333 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:

1 134,224,015
-1 -134,224,015

Let's try dividing by 4:

134,224,015 ÷ 4 = 33,556,003.75

If the quotient is a whole number, then 4 and 33,556,003.75 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:

1 134,224,015
-1 134,224,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1589445301,6271,508,13526,844,803134,224,015
-1-5-89-445-301,627-1,508,135-26,844,803-134,224,015

More Examples

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