Q: What are the factor combinations of the number 46,830,715?

 A:
Positive:   1 x 468307155 x 936614337 x 1265695163 x 287305185 x 253139815 x 574611553 x 301556031 x 7765
Negative: -1 x -46830715-5 x -9366143-37 x -1265695-163 x -287305-185 x -253139-815 x -57461-1553 x -30155-6031 x -7765


How do I find the factor combinations of the number 46,830,715?

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 46,830,715, 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 46,830,715
-1 -46,830,715

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 46,830,715.

Example:
1 x 46,830,715 = 46,830,715
and
-1 x -46,830,715 = 46,830,715
Notice both answers equal 46,830,715

With that explanation out of the way, let's continue. Next, we take the number 46,830,715 and divide it by 2:

46,830,715 ÷ 2 = 23,415,357.5

If the quotient is a whole number, then 2 and 23,415,357.5 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 46,830,715
-1 -46,830,715

Now, we try dividing 46,830,715 by 3:

46,830,715 ÷ 3 = 15,610,238.3333

If the quotient is a whole number, then 3 and 15,610,238.3333 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 46,830,715
-1 -46,830,715

Let's try dividing by 4:

46,830,715 ÷ 4 = 11,707,678.75

If the quotient is a whole number, then 4 and 11,707,678.75 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 46,830,715
-1 46,830,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15371631858151,5536,0317,76530,15557,461253,139287,3051,265,6959,366,14346,830,715
-1-5-37-163-185-815-1,553-6,031-7,765-30,155-57,461-253,139-287,305-1,265,695-9,366,143-46,830,715

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