Q: What are the factor combinations of the number 152,040,463?

 A:
Positive:   1 x 15204046359 x 2576957103 x 1476121127 x 1197169197 x 7717796077 x 250197493 x 2029111623 x 13081
Negative: -1 x -152040463-59 x -2576957-103 x -1476121-127 x -1197169-197 x -771779-6077 x -25019-7493 x -20291-11623 x -13081


How do I find the factor combinations of the number 152,040,463?

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 152,040,463, 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.

1 152,040,463
-1 -152,040,463

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 152,040,463.

Example:
1 x 152,040,463 = 152,040,463
and
-1 x -152,040,463 = 152,040,463
Notice both answers equal 152,040,463

With that explanation out of the way, let's continue. Next, we take the number 152,040,463 and divide it by 2:

152,040,463 ÷ 2 = 76,020,231.5

If the quotient is a whole number, then 2 and 76,020,231.5 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:

1 152,040,463
-1 -152,040,463

Now, we try dividing 152,040,463 by 3:

152,040,463 ÷ 3 = 50,680,154.3333

If the quotient is a whole number, then 3 and 50,680,154.3333 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:

1 152,040,463
-1 -152,040,463

Let's try dividing by 4:

152,040,463 ÷ 4 = 38,010,115.75

If the quotient is a whole number, then 4 and 38,010,115.75 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:

1 152,040,463
-1 152,040,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1591031271976,0777,49311,62313,08120,29125,019771,7791,197,1691,476,1212,576,957152,040,463
-1-59-103-127-197-6,077-7,493-11,623-13,081-20,291-25,019-771,779-1,197,169-1,476,121-2,576,957-152,040,463

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