Q: What are the factor combinations of the number 46,509,229?

 A:
Positive:   1 x 4650922913 x 357763317 x 2735837221 x 210449389 x 119561541 x 859695057 x 91976613 x 7033
Negative: -1 x -46509229-13 x -3577633-17 x -2735837-221 x -210449-389 x -119561-541 x -85969-5057 x -9197-6613 x -7033


How do I find the factor combinations of the number 46,509,229?

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 46,509,229, 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 46,509,229
-1 -46,509,229

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 46,509,229.

Example:
1 x 46,509,229 = 46,509,229
and
-1 x -46,509,229 = 46,509,229
Notice both answers equal 46,509,229

With that explanation out of the way, let's continue. Next, we take the number 46,509,229 and divide it by 2:

46,509,229 ÷ 2 = 23,254,614.5

If the quotient is a whole number, then 2 and 23,254,614.5 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 46,509,229
-1 -46,509,229

Now, we try dividing 46,509,229 by 3:

46,509,229 ÷ 3 = 15,503,076.3333

If the quotient is a whole number, then 3 and 15,503,076.3333 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 46,509,229
-1 -46,509,229

Let's try dividing by 4:

46,509,229 ÷ 4 = 11,627,307.25

If the quotient is a whole number, then 4 and 11,627,307.25 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 46,509,229
-1 46,509,229
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213895415,0576,6137,0339,19785,969119,561210,4492,735,8373,577,63346,509,229
-1-13-17-221-389-541-5,057-6,613-7,033-9,197-85,969-119,561-210,449-2,735,837-3,577,633-46,509,229

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