Q: What are the factor combinations of the number 212,245,355?

 A:
Positive:   1 x 2122453555 x 424490717 x 3032076535 x 6064153139 x 1526945695 x 305389973 x 2181354865 x 43627
Negative: -1 x -212245355-5 x -42449071-7 x -30320765-35 x -6064153-139 x -1526945-695 x -305389-973 x -218135-4865 x -43627


How do I find the factor combinations of the number 212,245,355?

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 212,245,355, 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.

1 212,245,355
-1 -212,245,355

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 212,245,355.

Example:
1 x 212,245,355 = 212,245,355
and
-1 x -212,245,355 = 212,245,355
Notice both answers equal 212,245,355

With that explanation out of the way, let's continue. Next, we take the number 212,245,355 and divide it by 2:

212,245,355 ÷ 2 = 106,122,677.5

If the quotient is a whole number, then 2 and 106,122,677.5 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:

1 212,245,355
-1 -212,245,355

Now, we try dividing 212,245,355 by 3:

212,245,355 ÷ 3 = 70,748,451.6667

If the quotient is a whole number, then 3 and 70,748,451.6667 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:

1 212,245,355
-1 -212,245,355

Let's try dividing by 4:

212,245,355 ÷ 4 = 53,061,338.75

If the quotient is a whole number, then 4 and 53,061,338.75 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:

1 212,245,355
-1 212,245,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157351396959734,86543,627218,135305,3891,526,9456,064,15330,320,76542,449,071212,245,355
-1-5-7-35-139-695-973-4,865-43,627-218,135-305,389-1,526,945-6,064,153-30,320,765-42,449,071-212,245,355

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