Q: What are the factor combinations of the number 120,051,463?

 A:
Positive:   1 x 1200514637 x 17150209157 x 764659313 x 383551349 x 3439871099 x 1092372191 x 547932443 x 49141
Negative: -1 x -120051463-7 x -17150209-157 x -764659-313 x -383551-349 x -343987-1099 x -109237-2191 x -54793-2443 x -49141


How do I find the factor combinations of the number 120,051,463?

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 120,051,463, 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.

1 120,051,463
-1 -120,051,463

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 120,051,463.

Example:
1 x 120,051,463 = 120,051,463
and
-1 x -120,051,463 = 120,051,463
Notice both answers equal 120,051,463

With that explanation out of the way, let's continue. Next, we take the number 120,051,463 and divide it by 2:

120,051,463 ÷ 2 = 60,025,731.5

If the quotient is a whole number, then 2 and 60,025,731.5 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:

1 120,051,463
-1 -120,051,463

Now, we try dividing 120,051,463 by 3:

120,051,463 ÷ 3 = 40,017,154.3333

If the quotient is a whole number, then 3 and 40,017,154.3333 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:

1 120,051,463
-1 -120,051,463

Let's try dividing by 4:

120,051,463 ÷ 4 = 30,012,865.75

If the quotient is a whole number, then 4 and 30,012,865.75 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:

1 120,051,463
-1 120,051,463
Keep dividing by the next highest number until you cannot divide anymore.

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

171573133491,0992,1912,44349,14154,793109,237343,987383,551764,65917,150,209120,051,463
-1-7-157-313-349-1,099-2,191-2,443-49,141-54,793-109,237-343,987-383,551-764,659-17,150,209-120,051,463

More Examples

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