Q: What are the factor combinations of the number 355,615,435?

 A:
Positive:   1 x 3556154355 x 711230877 x 5080220517 x 2091855535 x 1016044185 x 4183711119 x 2988365595 x 597673
Negative: -1 x -355615435-5 x -71123087-7 x -50802205-17 x -20918555-35 x -10160441-85 x -4183711-119 x -2988365-595 x -597673


How do I find the factor combinations of the number 355,615,435?

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 355,615,435, 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.

1 355,615,435
-1 -355,615,435

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 355,615,435.

Example:
1 x 355,615,435 = 355,615,435
and
-1 x -355,615,435 = 355,615,435
Notice both answers equal 355,615,435

With that explanation out of the way, let's continue. Next, we take the number 355,615,435 and divide it by 2:

355,615,435 ÷ 2 = 177,807,717.5

If the quotient is a whole number, then 2 and 177,807,717.5 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:

1 355,615,435
-1 -355,615,435

Now, we try dividing 355,615,435 by 3:

355,615,435 ÷ 3 = 118,538,478.3333

If the quotient is a whole number, then 3 and 118,538,478.3333 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:

1 355,615,435
-1 -355,615,435

Let's try dividing by 4:

355,615,435 ÷ 4 = 88,903,858.75

If the quotient is a whole number, then 4 and 88,903,858.75 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:

1 355,615,435
-1 355,615,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595597,6732,988,3654,183,71110,160,44120,918,55550,802,20571,123,087355,615,435
-1-5-7-17-35-85-119-595-597,673-2,988,365-4,183,711-10,160,441-20,918,555-50,802,205-71,123,087-355,615,435

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