Q: What are the factor combinations of the number 150,113,119?

 A:
Positive:   1 x 15011311913 x 1154716353 x 2832323223 x 673153689 x 217871977 x 1536472899 x 5178111819 x 12701
Negative: -1 x -150113119-13 x -11547163-53 x -2832323-223 x -673153-689 x -217871-977 x -153647-2899 x -51781-11819 x -12701


How do I find the factor combinations of the number 150,113,119?

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 150,113,119, 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.

1 150,113,119
-1 -150,113,119

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 150,113,119.

Example:
1 x 150,113,119 = 150,113,119
and
-1 x -150,113,119 = 150,113,119
Notice both answers equal 150,113,119

With that explanation out of the way, let's continue. Next, we take the number 150,113,119 and divide it by 2:

150,113,119 ÷ 2 = 75,056,559.5

If the quotient is a whole number, then 2 and 75,056,559.5 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:

1 150,113,119
-1 -150,113,119

Now, we try dividing 150,113,119 by 3:

150,113,119 ÷ 3 = 50,037,706.3333

If the quotient is a whole number, then 3 and 50,037,706.3333 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:

1 150,113,119
-1 -150,113,119

Let's try dividing by 4:

150,113,119 ÷ 4 = 37,528,279.75

If the quotient is a whole number, then 4 and 37,528,279.75 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:

1 150,113,119
-1 150,113,119
Keep dividing by the next highest number until you cannot divide anymore.

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

113532236899772,89911,81912,70151,781153,647217,871673,1532,832,32311,547,163150,113,119
-1-13-53-223-689-977-2,899-11,819-12,701-51,781-153,647-217,871-673,153-2,832,323-11,547,163-150,113,119

More Examples

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