Q: What are the factor combinations of the number 62,162,135?

 A:
Positive:   1 x 621621355 x 124324277 x 888030535 x 177606149 x 1268615245 x 253723349 x 178115727 x 855051745 x 356232443 x 254453635 x 171015089 x 12215
Negative: -1 x -62162135-5 x -12432427-7 x -8880305-35 x -1776061-49 x -1268615-245 x -253723-349 x -178115-727 x -85505-1745 x -35623-2443 x -25445-3635 x -17101-5089 x -12215


How do I find the factor combinations of the number 62,162,135?

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 62,162,135, 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 62,162,135
-1 -62,162,135

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 62,162,135.

Example:
1 x 62,162,135 = 62,162,135
and
-1 x -62,162,135 = 62,162,135
Notice both answers equal 62,162,135

With that explanation out of the way, let's continue. Next, we take the number 62,162,135 and divide it by 2:

62,162,135 ÷ 2 = 31,081,067.5

If the quotient is a whole number, then 2 and 31,081,067.5 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 62,162,135
-1 -62,162,135

Now, we try dividing 62,162,135 by 3:

62,162,135 ÷ 3 = 20,720,711.6667

If the quotient is a whole number, then 3 and 20,720,711.6667 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 62,162,135
-1 -62,162,135

Let's try dividing by 4:

62,162,135 ÷ 4 = 15,540,533.75

If the quotient is a whole number, then 4 and 15,540,533.75 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 62,162,135
-1 62,162,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453497271,7452,4433,6355,08912,21517,10125,44535,62385,505178,115253,7231,268,6151,776,0618,880,30512,432,42762,162,135
-1-5-7-35-49-245-349-727-1,745-2,443-3,635-5,089-12,215-17,101-25,445-35,623-85,505-178,115-253,723-1,268,615-1,776,061-8,880,305-12,432,427-62,162,135

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