Q: What are the factor combinations of the number 355,126,345?

 A:
Positive:   1 x 3551263455 x 710252697 x 5073233517 x 2088978535 x 1014646785 x 4177957119 x 2984255595 x 596851
Negative: -1 x -355126345-5 x -71025269-7 x -50732335-17 x -20889785-35 x -10146467-85 x -4177957-119 x -2984255-595 x -596851


How do I find the factor combinations of the number 355,126,345?

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 355,126,345, 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.

1 355,126,345
-1 -355,126,345

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 355,126,345.

Example:
1 x 355,126,345 = 355,126,345
and
-1 x -355,126,345 = 355,126,345
Notice both answers equal 355,126,345

With that explanation out of the way, let's continue. Next, we take the number 355,126,345 and divide it by 2:

355,126,345 ÷ 2 = 177,563,172.5

If the quotient is a whole number, then 2 and 177,563,172.5 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:

1 355,126,345
-1 -355,126,345

Now, we try dividing 355,126,345 by 3:

355,126,345 ÷ 3 = 118,375,448.3333

If the quotient is a whole number, then 3 and 118,375,448.3333 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:

1 355,126,345
-1 -355,126,345

Let's try dividing by 4:

355,126,345 ÷ 4 = 88,781,586.25

If the quotient is a whole number, then 4 and 88,781,586.25 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:

1 355,126,345
-1 355,126,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595596,8512,984,2554,177,95710,146,46720,889,78550,732,33571,025,269355,126,345
-1-5-7-17-35-85-119-595-596,851-2,984,255-4,177,957-10,146,467-20,889,785-50,732,335-71,025,269-355,126,345

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