Q: What are the factor combinations of the number 241,624,145?

 A:
Positive:   1 x 2416241455 x 483248297 x 3451773517 x 1421318535 x 690354749 x 493110585 x 2842637119 x 2030455245 x 986221595 x 406091833 x 2900654165 x 58013
Negative: -1 x -241624145-5 x -48324829-7 x -34517735-17 x -14213185-35 x -6903547-49 x -4931105-85 x -2842637-119 x -2030455-245 x -986221-595 x -406091-833 x -290065-4165 x -58013


How do I find the factor combinations of the number 241,624,145?

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 241,624,145, 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.

1 241,624,145
-1 -241,624,145

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 241,624,145.

Example:
1 x 241,624,145 = 241,624,145
and
-1 x -241,624,145 = 241,624,145
Notice both answers equal 241,624,145

With that explanation out of the way, let's continue. Next, we take the number 241,624,145 and divide it by 2:

241,624,145 ÷ 2 = 120,812,072.5

If the quotient is a whole number, then 2 and 120,812,072.5 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:

1 241,624,145
-1 -241,624,145

Now, we try dividing 241,624,145 by 3:

241,624,145 ÷ 3 = 80,541,381.6667

If the quotient is a whole number, then 3 and 80,541,381.6667 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:

1 241,624,145
-1 -241,624,145

Let's try dividing by 4:

241,624,145 ÷ 4 = 60,406,036.25

If the quotient is a whole number, then 4 and 60,406,036.25 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:

1 241,624,145
-1 241,624,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,16558,013290,065406,091986,2212,030,4552,842,6374,931,1056,903,54714,213,18534,517,73548,324,829241,624,145
-1-5-7-17-35-49-85-119-245-595-833-4,165-58,013-290,065-406,091-986,221-2,030,455-2,842,637-4,931,105-6,903,547-14,213,185-34,517,735-48,324,829-241,624,145

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