Q: What are the factor combinations of the number 46,204,249?

 A:
Positive:   1 x 462042497 x 660060713 x 355417317 x 271789791 x 507739119 x 388271221 x 2090691547 x 29867
Negative: -1 x -46204249-7 x -6600607-13 x -3554173-17 x -2717897-91 x -507739-119 x -388271-221 x -209069-1547 x -29867


How do I find the factor combinations of the number 46,204,249?

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 46,204,249, 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 46,204,249
-1 -46,204,249

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 46,204,249.

Example:
1 x 46,204,249 = 46,204,249
and
-1 x -46,204,249 = 46,204,249
Notice both answers equal 46,204,249

With that explanation out of the way, let's continue. Next, we take the number 46,204,249 and divide it by 2:

46,204,249 ÷ 2 = 23,102,124.5

If the quotient is a whole number, then 2 and 23,102,124.5 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 46,204,249
-1 -46,204,249

Now, we try dividing 46,204,249 by 3:

46,204,249 ÷ 3 = 15,401,416.3333

If the quotient is a whole number, then 3 and 15,401,416.3333 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 46,204,249
-1 -46,204,249

Let's try dividing by 4:

46,204,249 ÷ 4 = 11,551,062.25

If the quotient is a whole number, then 4 and 11,551,062.25 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 46,204,249
-1 46,204,249
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,54729,867209,069388,271507,7392,717,8973,554,1736,600,60746,204,249
-1-7-13-17-91-119-221-1,547-29,867-209,069-388,271-507,739-2,717,897-3,554,173-6,600,607-46,204,249

More Examples

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