Q: What are the factor combinations of the number 247,041,235?

 A:
Positive:   1 x 2470412355 x 494082477 x 3529160535 x 705832143 x 5745145215 x 1149029301 x 8207351505 x 164147
Negative: -1 x -247041235-5 x -49408247-7 x -35291605-35 x -7058321-43 x -5745145-215 x -1149029-301 x -820735-1505 x -164147


How do I find the factor combinations of the number 247,041,235?

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 247,041,235, 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.

1 247,041,235
-1 -247,041,235

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 247,041,235.

Example:
1 x 247,041,235 = 247,041,235
and
-1 x -247,041,235 = 247,041,235
Notice both answers equal 247,041,235

With that explanation out of the way, let's continue. Next, we take the number 247,041,235 and divide it by 2:

247,041,235 ÷ 2 = 123,520,617.5

If the quotient is a whole number, then 2 and 123,520,617.5 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:

1 247,041,235
-1 -247,041,235

Now, we try dividing 247,041,235 by 3:

247,041,235 ÷ 3 = 82,347,078.3333

If the quotient is a whole number, then 3 and 82,347,078.3333 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:

1 247,041,235
-1 -247,041,235

Let's try dividing by 4:

247,041,235 ÷ 4 = 61,760,308.75

If the quotient is a whole number, then 4 and 61,760,308.75 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:

1 247,041,235
-1 247,041,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,505164,147820,7351,149,0295,745,1457,058,32135,291,60549,408,247247,041,235
-1-5-7-35-43-215-301-1,505-164,147-820,735-1,149,029-5,745,145-7,058,321-35,291,605-49,408,247-247,041,235

More Examples

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