Q: What are the factor combinations of the number 165,753,035?

 A:
Positive:   1 x 1657530355 x 331506077 x 2367900535 x 473580149 x 3382715245 x 676543343 x 4832451715 x 966492401 x 6903512005 x 13807
Negative: -1 x -165753035-5 x -33150607-7 x -23679005-35 x -4735801-49 x -3382715-245 x -676543-343 x -483245-1715 x -96649-2401 x -69035-12005 x -13807


How do I find the factor combinations of the number 165,753,035?

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 165,753,035, 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.

1 165,753,035
-1 -165,753,035

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 165,753,035.

Example:
1 x 165,753,035 = 165,753,035
and
-1 x -165,753,035 = 165,753,035
Notice both answers equal 165,753,035

With that explanation out of the way, let's continue. Next, we take the number 165,753,035 and divide it by 2:

165,753,035 ÷ 2 = 82,876,517.5

If the quotient is a whole number, then 2 and 82,876,517.5 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:

1 165,753,035
-1 -165,753,035

Now, we try dividing 165,753,035 by 3:

165,753,035 ÷ 3 = 55,251,011.6667

If the quotient is a whole number, then 3 and 55,251,011.6667 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:

1 165,753,035
-1 -165,753,035

Let's try dividing by 4:

165,753,035 ÷ 4 = 41,438,258.75

If the quotient is a whole number, then 4 and 41,438,258.75 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:

1 165,753,035
-1 165,753,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7152,40112,00513,80769,03596,649483,245676,5433,382,7154,735,80123,679,00533,150,607165,753,035
-1-5-7-35-49-245-343-1,715-2,401-12,005-13,807-69,035-96,649-483,245-676,543-3,382,715-4,735,801-23,679,005-33,150,607-165,753,035

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