Q: What are the factor combinations of the number 481,432,721?

 A:
Positive:   1 x 4814327217 x 6877610311 x 4376661167 x 718556377 x 6252373469 x 1026509737 x 6532335159 x 93319
Negative: -1 x -481432721-7 x -68776103-11 x -43766611-67 x -7185563-77 x -6252373-469 x -1026509-737 x -653233-5159 x -93319


How do I find the factor combinations of the number 481,432,721?

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 481,432,721, 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.

1 481,432,721
-1 -481,432,721

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 481,432,721.

Example:
1 x 481,432,721 = 481,432,721
and
-1 x -481,432,721 = 481,432,721
Notice both answers equal 481,432,721

With that explanation out of the way, let's continue. Next, we take the number 481,432,721 and divide it by 2:

481,432,721 ÷ 2 = 240,716,360.5

If the quotient is a whole number, then 2 and 240,716,360.5 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:

1 481,432,721
-1 -481,432,721

Now, we try dividing 481,432,721 by 3:

481,432,721 ÷ 3 = 160,477,573.6667

If the quotient is a whole number, then 3 and 160,477,573.6667 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:

1 481,432,721
-1 -481,432,721

Let's try dividing by 4:

481,432,721 ÷ 4 = 120,358,180.25

If the quotient is a whole number, then 4 and 120,358,180.25 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:

1 481,432,721
-1 481,432,721
Keep dividing by the next highest number until you cannot divide anymore.

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

171167774697375,15993,319653,2331,026,5096,252,3737,185,56343,766,61168,776,103481,432,721
-1-7-11-67-77-469-737-5,159-93,319-653,233-1,026,509-6,252,373-7,185,563-43,766,611-68,776,103-481,432,721

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