Q: What are the factor combinations of the number 46,182,631?

 A:
Positive:   1 x 4618263111 x 419842167 x 689293223 x 207097281 x 164351737 x 626632453 x 188273091 x 14941
Negative: -1 x -46182631-11 x -4198421-67 x -689293-223 x -207097-281 x -164351-737 x -62663-2453 x -18827-3091 x -14941


How do I find the factor combinations of the number 46,182,631?

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 46,182,631, 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 46,182,631
-1 -46,182,631

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 46,182,631.

Example:
1 x 46,182,631 = 46,182,631
and
-1 x -46,182,631 = 46,182,631
Notice both answers equal 46,182,631

With that explanation out of the way, let's continue. Next, we take the number 46,182,631 and divide it by 2:

46,182,631 ÷ 2 = 23,091,315.5

If the quotient is a whole number, then 2 and 23,091,315.5 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 46,182,631
-1 -46,182,631

Now, we try dividing 46,182,631 by 3:

46,182,631 ÷ 3 = 15,394,210.3333

If the quotient is a whole number, then 3 and 15,394,210.3333 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 46,182,631
-1 -46,182,631

Let's try dividing by 4:

46,182,631 ÷ 4 = 11,545,657.75

If the quotient is a whole number, then 4 and 11,545,657.75 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 46,182,631
-1 46,182,631
Keep dividing by the next highest number until you cannot divide anymore.

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

111672232817372,4533,09114,94118,82762,663164,351207,097689,2934,198,42146,182,631
-1-11-67-223-281-737-2,453-3,091-14,941-18,827-62,663-164,351-207,097-689,293-4,198,421-46,182,631

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