Q: What are the factor combinations of the number 155,704,075?

 A:
Positive:   1 x 1557040755 x 3114081525 x 622816343 x 3621025215 x 724205241 x 646075601 x 2590751075 x 1448411205 x 1292153005 x 518156025 x 2584310363 x 15025
Negative: -1 x -155704075-5 x -31140815-25 x -6228163-43 x -3621025-215 x -724205-241 x -646075-601 x -259075-1075 x -144841-1205 x -129215-3005 x -51815-6025 x -25843-10363 x -15025


How do I find the factor combinations of the number 155,704,075?

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 155,704,075, 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.

1 155,704,075
-1 -155,704,075

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 155,704,075.

Example:
1 x 155,704,075 = 155,704,075
and
-1 x -155,704,075 = 155,704,075
Notice both answers equal 155,704,075

With that explanation out of the way, let's continue. Next, we take the number 155,704,075 and divide it by 2:

155,704,075 ÷ 2 = 77,852,037.5

If the quotient is a whole number, then 2 and 77,852,037.5 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:

1 155,704,075
-1 -155,704,075

Now, we try dividing 155,704,075 by 3:

155,704,075 ÷ 3 = 51,901,358.3333

If the quotient is a whole number, then 3 and 51,901,358.3333 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:

1 155,704,075
-1 -155,704,075

Let's try dividing by 4:

155,704,075 ÷ 4 = 38,926,018.75

If the quotient is a whole number, then 4 and 38,926,018.75 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:

1 155,704,075
-1 155,704,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1525432152416011,0751,2053,0056,02510,36315,02525,84351,815129,215144,841259,075646,075724,2053,621,0256,228,16331,140,815155,704,075
-1-5-25-43-215-241-601-1,075-1,205-3,005-6,025-10,363-15,025-25,843-51,815-129,215-144,841-259,075-646,075-724,205-3,621,025-6,228,163-31,140,815-155,704,075

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