Q: What are the factor combinations of the number 505,024,247?

 A:
Positive:   1 x 5050242477 x 7214632113 x 3884801959 x 855973391 x 5549717413 x 1222819767 x 6584415369 x 94063
Negative: -1 x -505024247-7 x -72146321-13 x -38848019-59 x -8559733-91 x -5549717-413 x -1222819-767 x -658441-5369 x -94063


How do I find the factor combinations of the number 505,024,247?

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 505,024,247, 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.

1 505,024,247
-1 -505,024,247

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 505,024,247.

Example:
1 x 505,024,247 = 505,024,247
and
-1 x -505,024,247 = 505,024,247
Notice both answers equal 505,024,247

With that explanation out of the way, let's continue. Next, we take the number 505,024,247 and divide it by 2:

505,024,247 ÷ 2 = 252,512,123.5

If the quotient is a whole number, then 2 and 252,512,123.5 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:

1 505,024,247
-1 -505,024,247

Now, we try dividing 505,024,247 by 3:

505,024,247 ÷ 3 = 168,341,415.6667

If the quotient is a whole number, then 3 and 168,341,415.6667 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:

1 505,024,247
-1 -505,024,247

Let's try dividing by 4:

505,024,247 ÷ 4 = 126,256,061.75

If the quotient is a whole number, then 4 and 126,256,061.75 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:

1 505,024,247
-1 505,024,247
Keep dividing by the next highest number until you cannot divide anymore.

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

171359914137675,36994,063658,4411,222,8195,549,7178,559,73338,848,01972,146,321505,024,247
-1-7-13-59-91-413-767-5,369-94,063-658,441-1,222,819-5,549,717-8,559,733-38,848,019-72,146,321-505,024,247

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