Q: What are the factor combinations of the number 355,623,473?

 A:
Positive:   1 x 35562347361 x 5829893131 x 2714683191 x 1861903233 x 15262817991 x 4450311651 x 3052314213 x 25021
Negative: -1 x -355623473-61 x -5829893-131 x -2714683-191 x -1861903-233 x -1526281-7991 x -44503-11651 x -30523-14213 x -25021


How do I find the factor combinations of the number 355,623,473?

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 355,623,473, 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.

1 355,623,473
-1 -355,623,473

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 355,623,473.

Example:
1 x 355,623,473 = 355,623,473
and
-1 x -355,623,473 = 355,623,473
Notice both answers equal 355,623,473

With that explanation out of the way, let's continue. Next, we take the number 355,623,473 and divide it by 2:

355,623,473 ÷ 2 = 177,811,736.5

If the quotient is a whole number, then 2 and 177,811,736.5 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:

1 355,623,473
-1 -355,623,473

Now, we try dividing 355,623,473 by 3:

355,623,473 ÷ 3 = 118,541,157.6667

If the quotient is a whole number, then 3 and 118,541,157.6667 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:

1 355,623,473
-1 -355,623,473

Let's try dividing by 4:

355,623,473 ÷ 4 = 88,905,868.25

If the quotient is a whole number, then 4 and 88,905,868.25 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:

1 355,623,473
-1 355,623,473
Keep dividing by the next highest number until you cannot divide anymore.

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

1611311912337,99111,65114,21325,02130,52344,5031,526,2811,861,9032,714,6835,829,893355,623,473
-1-61-131-191-233-7,991-11,651-14,213-25,021-30,523-44,503-1,526,281-1,861,903-2,714,683-5,829,893-355,623,473

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