Q: What are the factor combinations of the number 354,805,373?

 A:
Positive:   1 x 35480537313 x 2729272119 x 1867396753 x 6694441247 x 1436459689 x 5149571007 x 35233913091 x 27103
Negative: -1 x -354805373-13 x -27292721-19 x -18673967-53 x -6694441-247 x -1436459-689 x -514957-1007 x -352339-13091 x -27103


How do I find the factor combinations of the number 354,805,373?

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 354,805,373, 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.

1 354,805,373
-1 -354,805,373

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 354,805,373.

Example:
1 x 354,805,373 = 354,805,373
and
-1 x -354,805,373 = 354,805,373
Notice both answers equal 354,805,373

With that explanation out of the way, let's continue. Next, we take the number 354,805,373 and divide it by 2:

354,805,373 ÷ 2 = 177,402,686.5

If the quotient is a whole number, then 2 and 177,402,686.5 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:

1 354,805,373
-1 -354,805,373

Now, we try dividing 354,805,373 by 3:

354,805,373 ÷ 3 = 118,268,457.6667

If the quotient is a whole number, then 3 and 118,268,457.6667 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:

1 354,805,373
-1 -354,805,373

Let's try dividing by 4:

354,805,373 ÷ 4 = 88,701,343.25

If the quotient is a whole number, then 4 and 88,701,343.25 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:

1 354,805,373
-1 354,805,373
Keep dividing by the next highest number until you cannot divide anymore.

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

11319532476891,00713,09127,103352,339514,9571,436,4596,694,44118,673,96727,292,721354,805,373
-1-13-19-53-247-689-1,007-13,091-27,103-352,339-514,957-1,436,459-6,694,441-18,673,967-27,292,721-354,805,373

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