Q: What are the factor combinations of the number 46,331,215?

 A:
Positive:   1 x 463312155 x 92662437 x 661874519 x 243848535 x 132374937 x 125219549 x 94553595 x 487697133 x 348355185 x 250439245 x 189107259 x 178885269 x 172235665 x 69671703 x 65905931 x 497651295 x 357771345 x 344471813 x 255551883 x 246053515 x 131814655 x 99534921 x 94155111 x 9065
Negative: -1 x -46331215-5 x -9266243-7 x -6618745-19 x -2438485-35 x -1323749-37 x -1252195-49 x -945535-95 x -487697-133 x -348355-185 x -250439-245 x -189107-259 x -178885-269 x -172235-665 x -69671-703 x -65905-931 x -49765-1295 x -35777-1345 x -34447-1813 x -25555-1883 x -24605-3515 x -13181-4655 x -9953-4921 x -9415-5111 x -9065


How do I find the factor combinations of the number 46,331,215?

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 46,331,215, 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 46,331,215
-1 -46,331,215

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 46,331,215.

Example:
1 x 46,331,215 = 46,331,215
and
-1 x -46,331,215 = 46,331,215
Notice both answers equal 46,331,215

With that explanation out of the way, let's continue. Next, we take the number 46,331,215 and divide it by 2:

46,331,215 ÷ 2 = 23,165,607.5

If the quotient is a whole number, then 2 and 23,165,607.5 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 46,331,215
-1 -46,331,215

Now, we try dividing 46,331,215 by 3:

46,331,215 ÷ 3 = 15,443,738.3333

If the quotient is a whole number, then 3 and 15,443,738.3333 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 46,331,215
-1 -46,331,215

Let's try dividing by 4:

46,331,215 ÷ 4 = 11,582,803.75

If the quotient is a whole number, then 4 and 11,582,803.75 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 46,331,215
-1 46,331,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15719353749951331852452592696657039311,2951,3451,8131,8833,5154,6554,9215,1119,0659,4159,95313,18124,60525,55534,44735,77749,76565,90569,671172,235178,885189,107250,439348,355487,697945,5351,252,1951,323,7492,438,4856,618,7459,266,24346,331,215
-1-5-7-19-35-37-49-95-133-185-245-259-269-665-703-931-1,295-1,345-1,813-1,883-3,515-4,655-4,921-5,111-9,065-9,415-9,953-13,181-24,605-25,555-34,447-35,777-49,765-65,905-69,671-172,235-178,885-189,107-250,439-348,355-487,697-945,535-1,252,195-1,323,749-2,438,485-6,618,745-9,266,243-46,331,215

More Examples

Here are some more numbers to try:

46,331,21346,331,21446,331,21646,331,217
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