Q: What are the factor combinations of the number 352,142,065?

 A:
Positive:   1 x 3521420655 x 7042841311 x 3201291555 x 6402583103 x 3418855121 x 2910265515 x 683771605 x 5820531133 x 3108055651 x 623155665 x 6216112463 x 28255
Negative: -1 x -352142065-5 x -70428413-11 x -32012915-55 x -6402583-103 x -3418855-121 x -2910265-515 x -683771-605 x -582053-1133 x -310805-5651 x -62315-5665 x -62161-12463 x -28255


How do I find the factor combinations of the number 352,142,065?

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 352,142,065, 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.

1 352,142,065
-1 -352,142,065

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 352,142,065.

Example:
1 x 352,142,065 = 352,142,065
and
-1 x -352,142,065 = 352,142,065
Notice both answers equal 352,142,065

With that explanation out of the way, let's continue. Next, we take the number 352,142,065 and divide it by 2:

352,142,065 ÷ 2 = 176,071,032.5

If the quotient is a whole number, then 2 and 176,071,032.5 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:

1 352,142,065
-1 -352,142,065

Now, we try dividing 352,142,065 by 3:

352,142,065 ÷ 3 = 117,380,688.3333

If the quotient is a whole number, then 3 and 117,380,688.3333 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:

1 352,142,065
-1 -352,142,065

Let's try dividing by 4:

352,142,065 ÷ 4 = 88,035,516.25

If the quotient is a whole number, then 4 and 88,035,516.25 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:

1 352,142,065
-1 352,142,065
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551031215156051,1335,6515,66512,46328,25562,16162,315310,805582,053683,7712,910,2653,418,8556,402,58332,012,91570,428,413352,142,065
-1-5-11-55-103-121-515-605-1,133-5,651-5,665-12,463-28,255-62,161-62,315-310,805-582,053-683,771-2,910,265-3,418,855-6,402,583-32,012,915-70,428,413-352,142,065

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