Q: What are the factor combinations of the number 355,583,635?

 A:
Positive:   1 x 3555836355 x 7111672711 x 3232578555 x 6465157607 x 5858053035 x 1171616677 x 5325510651 x 33385
Negative: -1 x -355583635-5 x -71116727-11 x -32325785-55 x -6465157-607 x -585805-3035 x -117161-6677 x -53255-10651 x -33385


How do I find the factor combinations of the number 355,583,635?

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 355,583,635, 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.

1 355,583,635
-1 -355,583,635

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 355,583,635.

Example:
1 x 355,583,635 = 355,583,635
and
-1 x -355,583,635 = 355,583,635
Notice both answers equal 355,583,635

With that explanation out of the way, let's continue. Next, we take the number 355,583,635 and divide it by 2:

355,583,635 ÷ 2 = 177,791,817.5

If the quotient is a whole number, then 2 and 177,791,817.5 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:

1 355,583,635
-1 -355,583,635

Now, we try dividing 355,583,635 by 3:

355,583,635 ÷ 3 = 118,527,878.3333

If the quotient is a whole number, then 3 and 118,527,878.3333 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:

1 355,583,635
-1 -355,583,635

Let's try dividing by 4:

355,583,635 ÷ 4 = 88,895,908.75

If the quotient is a whole number, then 4 and 88,895,908.75 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:

1 355,583,635
-1 355,583,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556073,0356,67710,65133,38553,255117,161585,8056,465,15732,325,78571,116,727355,583,635
-1-5-11-55-607-3,035-6,677-10,651-33,385-53,255-117,161-585,805-6,465,157-32,325,785-71,116,727-355,583,635

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