Q: What are the factor combinations of the number 355,480,223?

 A:
Positive:   1 x 3554802237 x 5078288947 x 7563409191 x 1861153329 x 10804871337 x 2658795657 x 628398977 x 39599
Negative: -1 x -355480223-7 x -50782889-47 x -7563409-191 x -1861153-329 x -1080487-1337 x -265879-5657 x -62839-8977 x -39599


How do I find the factor combinations of the number 355,480,223?

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 355,480,223, 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.

1 355,480,223
-1 -355,480,223

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 355,480,223.

Example:
1 x 355,480,223 = 355,480,223
and
-1 x -355,480,223 = 355,480,223
Notice both answers equal 355,480,223

With that explanation out of the way, let's continue. Next, we take the number 355,480,223 and divide it by 2:

355,480,223 ÷ 2 = 177,740,111.5

If the quotient is a whole number, then 2 and 177,740,111.5 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:

1 355,480,223
-1 -355,480,223

Now, we try dividing 355,480,223 by 3:

355,480,223 ÷ 3 = 118,493,407.6667

If the quotient is a whole number, then 3 and 118,493,407.6667 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:

1 355,480,223
-1 -355,480,223

Let's try dividing by 4:

355,480,223 ÷ 4 = 88,870,055.75

If the quotient is a whole number, then 4 and 88,870,055.75 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:

1 355,480,223
-1 355,480,223
Keep dividing by the next highest number until you cannot divide anymore.

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

17471913291,3375,6578,97739,59962,839265,8791,080,4871,861,1537,563,40950,782,889355,480,223
-1-7-47-191-329-1,337-5,657-8,977-39,599-62,839-265,879-1,080,487-1,861,153-7,563,409-50,782,889-355,480,223

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