Q: What are the factor combinations of the number 355,425,505?

 A:
Positive:   1 x 3554255055 x 7108510183 x 428223589 x 3993545415 x 856447445 x 7987097387 x 481159623 x 36935
Negative: -1 x -355425505-5 x -71085101-83 x -4282235-89 x -3993545-415 x -856447-445 x -798709-7387 x -48115-9623 x -36935


How do I find the factor combinations of the number 355,425,505?

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 355,425,505, 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.

1 355,425,505
-1 -355,425,505

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 355,425,505.

Example:
1 x 355,425,505 = 355,425,505
and
-1 x -355,425,505 = 355,425,505
Notice both answers equal 355,425,505

With that explanation out of the way, let's continue. Next, we take the number 355,425,505 and divide it by 2:

355,425,505 ÷ 2 = 177,712,752.5

If the quotient is a whole number, then 2 and 177,712,752.5 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:

1 355,425,505
-1 -355,425,505

Now, we try dividing 355,425,505 by 3:

355,425,505 ÷ 3 = 118,475,168.3333

If the quotient is a whole number, then 3 and 118,475,168.3333 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:

1 355,425,505
-1 -355,425,505

Let's try dividing by 4:

355,425,505 ÷ 4 = 88,856,376.25

If the quotient is a whole number, then 4 and 88,856,376.25 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:

1 355,425,505
-1 355,425,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1583894154457,3879,62336,93548,115798,709856,4473,993,5454,282,23571,085,101355,425,505
-1-5-83-89-415-445-7,387-9,623-36,935-48,115-798,709-856,447-3,993,545-4,282,235-71,085,101-355,425,505

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