Q: What are the factor combinations of the number 326,147,129?

 A:
Positive:   1 x 3261471297 x 4659244711 x 2964973977 x 4235677179 x 18220511253 x 2602931969 x 16564113783 x 23663
Negative: -1 x -326147129-7 x -46592447-11 x -29649739-77 x -4235677-179 x -1822051-1253 x -260293-1969 x -165641-13783 x -23663


How do I find the factor combinations of the number 326,147,129?

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 326,147,129, 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.

1 326,147,129
-1 -326,147,129

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 326,147,129.

Example:
1 x 326,147,129 = 326,147,129
and
-1 x -326,147,129 = 326,147,129
Notice both answers equal 326,147,129

With that explanation out of the way, let's continue. Next, we take the number 326,147,129 and divide it by 2:

326,147,129 ÷ 2 = 163,073,564.5

If the quotient is a whole number, then 2 and 163,073,564.5 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:

1 326,147,129
-1 -326,147,129

Now, we try dividing 326,147,129 by 3:

326,147,129 ÷ 3 = 108,715,709.6667

If the quotient is a whole number, then 3 and 108,715,709.6667 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:

1 326,147,129
-1 -326,147,129

Let's try dividing by 4:

326,147,129 ÷ 4 = 81,536,782.25

If the quotient is a whole number, then 4 and 81,536,782.25 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:

1 326,147,129
-1 326,147,129
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771791,2531,96913,78323,663165,641260,2931,822,0514,235,67729,649,73946,592,447326,147,129
-1-7-11-77-179-1,253-1,969-13,783-23,663-165,641-260,293-1,822,051-4,235,677-29,649,739-46,592,447-326,147,129

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