Q: What are the factor combinations of the number 42,434,825?

 A:
Positive:   1 x 424348255 x 848696525 x 1697393919 x 461751847 x 229754595 x 9235
Negative: -1 x -42434825-5 x -8486965-25 x -1697393-919 x -46175-1847 x -22975-4595 x -9235


How do I find the factor combinations of the number 42,434,825?

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 42,434,825, 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 42,434,825
-1 -42,434,825

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 42,434,825.

Example:
1 x 42,434,825 = 42,434,825
and
-1 x -42,434,825 = 42,434,825
Notice both answers equal 42,434,825

With that explanation out of the way, let's continue. Next, we take the number 42,434,825 and divide it by 2:

42,434,825 ÷ 2 = 21,217,412.5

If the quotient is a whole number, then 2 and 21,217,412.5 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 42,434,825
-1 -42,434,825

Now, we try dividing 42,434,825 by 3:

42,434,825 ÷ 3 = 14,144,941.6667

If the quotient is a whole number, then 3 and 14,144,941.6667 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 42,434,825
-1 -42,434,825

Let's try dividing by 4:

42,434,825 ÷ 4 = 10,608,706.25

If the quotient is a whole number, then 4 and 10,608,706.25 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 42,434,825
-1 42,434,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15259191,8474,5959,23522,97546,1751,697,3938,486,96542,434,825
-1-5-25-919-1,847-4,595-9,235-22,975-46,175-1,697,393-8,486,965-42,434,825

More Examples

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