Q: What are the factor combinations of the number 241,012,205?

 A:
Positive:   1 x 2410122055 x 482024417 x 3443031535 x 688606343 x 5604935215 x 1120987301 x 8007051505 x 160141
Negative: -1 x -241012205-5 x -48202441-7 x -34430315-35 x -6886063-43 x -5604935-215 x -1120987-301 x -800705-1505 x -160141


How do I find the factor combinations of the number 241,012,205?

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 241,012,205, 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.

1 241,012,205
-1 -241,012,205

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 241,012,205.

Example:
1 x 241,012,205 = 241,012,205
and
-1 x -241,012,205 = 241,012,205
Notice both answers equal 241,012,205

With that explanation out of the way, let's continue. Next, we take the number 241,012,205 and divide it by 2:

241,012,205 ÷ 2 = 120,506,102.5

If the quotient is a whole number, then 2 and 120,506,102.5 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:

1 241,012,205
-1 -241,012,205

Now, we try dividing 241,012,205 by 3:

241,012,205 ÷ 3 = 80,337,401.6667

If the quotient is a whole number, then 3 and 80,337,401.6667 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:

1 241,012,205
-1 -241,012,205

Let's try dividing by 4:

241,012,205 ÷ 4 = 60,253,051.25

If the quotient is a whole number, then 4 and 60,253,051.25 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:

1 241,012,205
-1 241,012,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,505160,141800,7051,120,9875,604,9356,886,06334,430,31548,202,441241,012,205
-1-5-7-35-43-215-301-1,505-160,141-800,705-1,120,987-5,604,935-6,886,063-34,430,315-48,202,441-241,012,205

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