Q: What are the factor combinations of the number 46,676,315?

 A:
Positive:   1 x 466763155 x 93352637 x 666804523 x 202940535 x 1333609115 x 405881161 x 289915529 x 88235805 x 579832521 x 185152645 x 176473703 x 12605
Negative: -1 x -46676315-5 x -9335263-7 x -6668045-23 x -2029405-35 x -1333609-115 x -405881-161 x -289915-529 x -88235-805 x -57983-2521 x -18515-2645 x -17647-3703 x -12605


How do I find the factor combinations of the number 46,676,315?

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 46,676,315, 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 46,676,315
-1 -46,676,315

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 46,676,315.

Example:
1 x 46,676,315 = 46,676,315
and
-1 x -46,676,315 = 46,676,315
Notice both answers equal 46,676,315

With that explanation out of the way, let's continue. Next, we take the number 46,676,315 and divide it by 2:

46,676,315 ÷ 2 = 23,338,157.5

If the quotient is a whole number, then 2 and 23,338,157.5 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 46,676,315
-1 -46,676,315

Now, we try dividing 46,676,315 by 3:

46,676,315 ÷ 3 = 15,558,771.6667

If the quotient is a whole number, then 3 and 15,558,771.6667 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 46,676,315
-1 -46,676,315

Let's try dividing by 4:

46,676,315 ÷ 4 = 11,669,078.75

If the quotient is a whole number, then 4 and 11,669,078.75 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 46,676,315
-1 46,676,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351151615298052,5212,6453,70312,60517,64718,51557,98388,235289,915405,8811,333,6092,029,4056,668,0459,335,26346,676,315
-1-5-7-23-35-115-161-529-805-2,521-2,645-3,703-12,605-17,647-18,515-57,983-88,235-289,915-405,881-1,333,609-2,029,405-6,668,045-9,335,263-46,676,315

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