Q: What are the factor combinations of the number 152,680,555?

 A:
Positive:   1 x 1526805555 x 3053611123 x 6638285115 x 1327657389 x 3924951945 x 784993413 x 447358947 x 17065
Negative: -1 x -152680555-5 x -30536111-23 x -6638285-115 x -1327657-389 x -392495-1945 x -78499-3413 x -44735-8947 x -17065


How do I find the factor combinations of the number 152,680,555?

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 152,680,555, 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.

1 152,680,555
-1 -152,680,555

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 152,680,555.

Example:
1 x 152,680,555 = 152,680,555
and
-1 x -152,680,555 = 152,680,555
Notice both answers equal 152,680,555

With that explanation out of the way, let's continue. Next, we take the number 152,680,555 and divide it by 2:

152,680,555 ÷ 2 = 76,340,277.5

If the quotient is a whole number, then 2 and 76,340,277.5 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:

1 152,680,555
-1 -152,680,555

Now, we try dividing 152,680,555 by 3:

152,680,555 ÷ 3 = 50,893,518.3333

If the quotient is a whole number, then 3 and 50,893,518.3333 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:

1 152,680,555
-1 -152,680,555

Let's try dividing by 4:

152,680,555 ÷ 4 = 38,170,138.75

If the quotient is a whole number, then 4 and 38,170,138.75 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:

1 152,680,555
-1 152,680,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153891,9453,4138,94717,06544,73578,499392,4951,327,6576,638,28530,536,111152,680,555
-1-5-23-115-389-1,945-3,413-8,947-17,065-44,735-78,499-392,495-1,327,657-6,638,285-30,536,111-152,680,555

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