Q: What are the factor combinations of the number 241,012,207?

 A:
Positive:   1 x 24101220719 x 12684853859 x 28057314767 x 16321
Negative: -1 x -241012207-19 x -12684853-859 x -280573-14767 x -16321


How do I find the factor combinations of the number 241,012,207?

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 241,012,207, 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.

1 241,012,207
-1 -241,012,207

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 241,012,207.

Example:
1 x 241,012,207 = 241,012,207
and
-1 x -241,012,207 = 241,012,207
Notice both answers equal 241,012,207

With that explanation out of the way, let's continue. Next, we take the number 241,012,207 and divide it by 2:

241,012,207 ÷ 2 = 120,506,103.5

If the quotient is a whole number, then 2 and 120,506,103.5 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:

1 241,012,207
-1 -241,012,207

Now, we try dividing 241,012,207 by 3:

241,012,207 ÷ 3 = 80,337,402.3333

If the quotient is a whole number, then 3 and 80,337,402.3333 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:

1 241,012,207
-1 -241,012,207

Let's try dividing by 4:

241,012,207 ÷ 4 = 60,253,051.75

If the quotient is a whole number, then 4 and 60,253,051.75 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:

1 241,012,207
-1 241,012,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11985914,76716,321280,57312,684,853241,012,207
-1-19-859-14,767-16,321-280,573-12,684,853-241,012,207

More Examples

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