Q: What are the factor combinations of the number 355,552,469?

 A:
Positive:   1 x 35555246923 x 1545880361 x 58287291403 x 253423
Negative: -1 x -355552469-23 x -15458803-61 x -5828729-1403 x -253423


How do I find the factor combinations of the number 355,552,469?

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 355,552,469, 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.

1 355,552,469
-1 -355,552,469

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 355,552,469.

Example:
1 x 355,552,469 = 355,552,469
and
-1 x -355,552,469 = 355,552,469
Notice both answers equal 355,552,469

With that explanation out of the way, let's continue. Next, we take the number 355,552,469 and divide it by 2:

355,552,469 ÷ 2 = 177,776,234.5

If the quotient is a whole number, then 2 and 177,776,234.5 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:

1 355,552,469
-1 -355,552,469

Now, we try dividing 355,552,469 by 3:

355,552,469 ÷ 3 = 118,517,489.6667

If the quotient is a whole number, then 3 and 118,517,489.6667 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:

1 355,552,469
-1 -355,552,469

Let's try dividing by 4:

355,552,469 ÷ 4 = 88,888,117.25

If the quotient is a whole number, then 4 and 88,888,117.25 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:

1 355,552,469
-1 355,552,469
Keep dividing by the next highest number until you cannot divide anymore.

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

123611,403253,4235,828,72915,458,803355,552,469
-1-23-61-1,403-253,423-5,828,729-15,458,803-355,552,469

More Examples

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