Q: What are the factor combinations of the number 264,364,045?

 A:
Positive:   1 x 2643640455 x 5287280911 x 2403309555 x 48066191229 x 2151053911 x 675956145 x 4302113519 x 19555
Negative: -1 x -264364045-5 x -52872809-11 x -24033095-55 x -4806619-1229 x -215105-3911 x -67595-6145 x -43021-13519 x -19555


How do I find the factor combinations of the number 264,364,045?

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 264,364,045, 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.

1 264,364,045
-1 -264,364,045

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 264,364,045.

Example:
1 x 264,364,045 = 264,364,045
and
-1 x -264,364,045 = 264,364,045
Notice both answers equal 264,364,045

With that explanation out of the way, let's continue. Next, we take the number 264,364,045 and divide it by 2:

264,364,045 ÷ 2 = 132,182,022.5

If the quotient is a whole number, then 2 and 132,182,022.5 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:

1 264,364,045
-1 -264,364,045

Now, we try dividing 264,364,045 by 3:

264,364,045 ÷ 3 = 88,121,348.3333

If the quotient is a whole number, then 3 and 88,121,348.3333 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:

1 264,364,045
-1 -264,364,045

Let's try dividing by 4:

264,364,045 ÷ 4 = 66,091,011.25

If the quotient is a whole number, then 4 and 66,091,011.25 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:

1 264,364,045
-1 264,364,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,2293,9116,14513,51919,55543,02167,595215,1054,806,61924,033,09552,872,809264,364,045
-1-5-11-55-1,229-3,911-6,145-13,519-19,555-43,021-67,595-215,105-4,806,619-24,033,095-52,872,809-264,364,045

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