Q: What are the factor combinations of the number 746,647,235?

 A:
Positive:   1 x 7466472355 x 14932944737 x 20179655185 x 40359311033 x 7227953907 x 1911055165 x 14455919535 x 38221
Negative: -1 x -746647235-5 x -149329447-37 x -20179655-185 x -4035931-1033 x -722795-3907 x -191105-5165 x -144559-19535 x -38221


How do I find the factor combinations of the number 746,647,235?

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 746,647,235, 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.

1 746,647,235
-1 -746,647,235

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 746,647,235.

Example:
1 x 746,647,235 = 746,647,235
and
-1 x -746,647,235 = 746,647,235
Notice both answers equal 746,647,235

With that explanation out of the way, let's continue. Next, we take the number 746,647,235 and divide it by 2:

746,647,235 ÷ 2 = 373,323,617.5

If the quotient is a whole number, then 2 and 373,323,617.5 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:

1 746,647,235
-1 -746,647,235

Now, we try dividing 746,647,235 by 3:

746,647,235 ÷ 3 = 248,882,411.6667

If the quotient is a whole number, then 3 and 248,882,411.6667 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:

1 746,647,235
-1 -746,647,235

Let's try dividing by 4:

746,647,235 ÷ 4 = 186,661,808.75

If the quotient is a whole number, then 4 and 186,661,808.75 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:

1 746,647,235
-1 746,647,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15371851,0333,9075,16519,53538,221144,559191,105722,7954,035,93120,179,655149,329,447746,647,235
-1-5-37-185-1,033-3,907-5,165-19,535-38,221-144,559-191,105-722,795-4,035,931-20,179,655-149,329,447-746,647,235

More Examples

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