Q: What are the factor combinations of the number 445,466,231?

 A:
Positive:   1 x 4454662317 x 6363803323 x 19368097161 x 27668711619 x 2751491709 x 26065911333 x 3930711963 x 37237
Negative: -1 x -445466231-7 x -63638033-23 x -19368097-161 x -2766871-1619 x -275149-1709 x -260659-11333 x -39307-11963 x -37237


How do I find the factor combinations of the number 445,466,231?

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 445,466,231, 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.

1 445,466,231
-1 -445,466,231

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 445,466,231.

Example:
1 x 445,466,231 = 445,466,231
and
-1 x -445,466,231 = 445,466,231
Notice both answers equal 445,466,231

With that explanation out of the way, let's continue. Next, we take the number 445,466,231 and divide it by 2:

445,466,231 ÷ 2 = 222,733,115.5

If the quotient is a whole number, then 2 and 222,733,115.5 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:

1 445,466,231
-1 -445,466,231

Now, we try dividing 445,466,231 by 3:

445,466,231 ÷ 3 = 148,488,743.6667

If the quotient is a whole number, then 3 and 148,488,743.6667 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:

1 445,466,231
-1 -445,466,231

Let's try dividing by 4:

445,466,231 ÷ 4 = 111,366,557.75

If the quotient is a whole number, then 4 and 111,366,557.75 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:

1 445,466,231
-1 445,466,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611,6191,70911,33311,96337,23739,307260,659275,1492,766,87119,368,09763,638,033445,466,231
-1-7-23-161-1,619-1,709-11,333-11,963-37,237-39,307-260,659-275,149-2,766,871-19,368,097-63,638,033-445,466,231

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