Q: What are the factor combinations of the number 425,314,099?

 A:
Positive:   1 x 4253140997 x 60759157157 x 2709007173 x 24584631099 x 3870011211 x 3512092237 x 19012715659 x 27161
Negative: -1 x -425314099-7 x -60759157-157 x -2709007-173 x -2458463-1099 x -387001-1211 x -351209-2237 x -190127-15659 x -27161


How do I find the factor combinations of the number 425,314,099?

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 425,314,099, 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.

1 425,314,099
-1 -425,314,099

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 425,314,099.

Example:
1 x 425,314,099 = 425,314,099
and
-1 x -425,314,099 = 425,314,099
Notice both answers equal 425,314,099

With that explanation out of the way, let's continue. Next, we take the number 425,314,099 and divide it by 2:

425,314,099 ÷ 2 = 212,657,049.5

If the quotient is a whole number, then 2 and 212,657,049.5 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:

1 425,314,099
-1 -425,314,099

Now, we try dividing 425,314,099 by 3:

425,314,099 ÷ 3 = 141,771,366.3333

If the quotient is a whole number, then 3 and 141,771,366.3333 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:

1 425,314,099
-1 -425,314,099

Let's try dividing by 4:

425,314,099 ÷ 4 = 106,328,524.75

If the quotient is a whole number, then 4 and 106,328,524.75 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:

1 425,314,099
-1 425,314,099
Keep dividing by the next highest number until you cannot divide anymore.

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

171571731,0991,2112,23715,65927,161190,127351,209387,0012,458,4632,709,00760,759,157425,314,099
-1-7-157-173-1,099-1,211-2,237-15,659-27,161-190,127-351,209-387,001-2,458,463-2,709,007-60,759,157-425,314,099

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