Q: What are the factor combinations of the number 353,815,645?

 A:
Positive:   1 x 3538156455 x 7076312917 x 2081268537 x 956258585 x 4162537185 x 1912517629 x 5625053145 x 112501
Negative: -1 x -353815645-5 x -70763129-17 x -20812685-37 x -9562585-85 x -4162537-185 x -1912517-629 x -562505-3145 x -112501


How do I find the factor combinations of the number 353,815,645?

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 353,815,645, 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.

1 353,815,645
-1 -353,815,645

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 353,815,645.

Example:
1 x 353,815,645 = 353,815,645
and
-1 x -353,815,645 = 353,815,645
Notice both answers equal 353,815,645

With that explanation out of the way, let's continue. Next, we take the number 353,815,645 and divide it by 2:

353,815,645 ÷ 2 = 176,907,822.5

If the quotient is a whole number, then 2 and 176,907,822.5 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:

1 353,815,645
-1 -353,815,645

Now, we try dividing 353,815,645 by 3:

353,815,645 ÷ 3 = 117,938,548.3333

If the quotient is a whole number, then 3 and 117,938,548.3333 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:

1 353,815,645
-1 -353,815,645

Let's try dividing by 4:

353,815,645 ÷ 4 = 88,453,911.25

If the quotient is a whole number, then 4 and 88,453,911.25 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:

1 353,815,645
-1 353,815,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856293,145112,501562,5051,912,5174,162,5379,562,58520,812,68570,763,129353,815,645
-1-5-17-37-85-185-629-3,145-112,501-562,505-1,912,517-4,162,537-9,562,585-20,812,685-70,763,129-353,815,645

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