Q: What are the factor combinations of the number 176,002,375?

 A:
Positive:   1 x 1760023755 x 3520047525 x 7040095125 x 1408019233 x 7553751165 x 1510755825 x 302156043 x 29125
Negative: -1 x -176002375-5 x -35200475-25 x -7040095-125 x -1408019-233 x -755375-1165 x -151075-5825 x -30215-6043 x -29125


How do I find the factor combinations of the number 176,002,375?

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 176,002,375, 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.

1 176,002,375
-1 -176,002,375

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 176,002,375.

Example:
1 x 176,002,375 = 176,002,375
and
-1 x -176,002,375 = 176,002,375
Notice both answers equal 176,002,375

With that explanation out of the way, let's continue. Next, we take the number 176,002,375 and divide it by 2:

176,002,375 ÷ 2 = 88,001,187.5

If the quotient is a whole number, then 2 and 88,001,187.5 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:

1 176,002,375
-1 -176,002,375

Now, we try dividing 176,002,375 by 3:

176,002,375 ÷ 3 = 58,667,458.3333

If the quotient is a whole number, then 3 and 58,667,458.3333 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:

1 176,002,375
-1 -176,002,375

Let's try dividing by 4:

176,002,375 ÷ 4 = 44,000,593.75

If the quotient is a whole number, then 4 and 44,000,593.75 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:

1 176,002,375
-1 176,002,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252331,1655,8256,04329,12530,215151,075755,3751,408,0197,040,09535,200,475176,002,375
-1-5-25-125-233-1,165-5,825-6,043-29,125-30,215-151,075-755,375-1,408,019-7,040,095-35,200,475-176,002,375

More Examples

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