Q: What are the factor combinations of the number 64,482,749?

 A:
Positive:   1 x 6448274937 x 1742777137 x 4706775069 x 12721
Negative: -1 x -64482749-37 x -1742777-137 x -470677-5069 x -12721


How do I find the factor combinations of the number 64,482,749?

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 64,482,749, 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 64,482,749
-1 -64,482,749

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 64,482,749.

Example:
1 x 64,482,749 = 64,482,749
and
-1 x -64,482,749 = 64,482,749
Notice both answers equal 64,482,749

With that explanation out of the way, let's continue. Next, we take the number 64,482,749 and divide it by 2:

64,482,749 ÷ 2 = 32,241,374.5

If the quotient is a whole number, then 2 and 32,241,374.5 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 64,482,749
-1 -64,482,749

Now, we try dividing 64,482,749 by 3:

64,482,749 ÷ 3 = 21,494,249.6667

If the quotient is a whole number, then 3 and 21,494,249.6667 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 64,482,749
-1 -64,482,749

Let's try dividing by 4:

64,482,749 ÷ 4 = 16,120,687.25

If the quotient is a whole number, then 4 and 16,120,687.25 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 64,482,749
-1 64,482,749
Keep dividing by the next highest number until you cannot divide anymore.

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

1371375,06912,721470,6771,742,77764,482,749
-1-37-137-5,069-12,721-470,677-1,742,777-64,482,749

More Examples

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