Q: What are the factor combinations of the number 42,890,375?

 A:
Positive:   1 x 428903755 x 857807511 x 389912525 x 171561555 x 779825125 x 343123275 x 1559651375 x 31193
Negative: -1 x -42890375-5 x -8578075-11 x -3899125-25 x -1715615-55 x -779825-125 x -343123-275 x -155965-1375 x -31193


How do I find the factor combinations of the number 42,890,375?

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 42,890,375, 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 42,890,375
-1 -42,890,375

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 42,890,375.

Example:
1 x 42,890,375 = 42,890,375
and
-1 x -42,890,375 = 42,890,375
Notice both answers equal 42,890,375

With that explanation out of the way, let's continue. Next, we take the number 42,890,375 and divide it by 2:

42,890,375 ÷ 2 = 21,445,187.5

If the quotient is a whole number, then 2 and 21,445,187.5 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 42,890,375
-1 -42,890,375

Now, we try dividing 42,890,375 by 3:

42,890,375 ÷ 3 = 14,296,791.6667

If the quotient is a whole number, then 3 and 14,296,791.6667 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 42,890,375
-1 -42,890,375

Let's try dividing by 4:

42,890,375 ÷ 4 = 10,722,593.75

If the quotient is a whole number, then 4 and 10,722,593.75 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 42,890,375
-1 42,890,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37531,193155,965343,123779,8251,715,6153,899,1258,578,07542,890,375
-1-5-11-25-55-125-275-1,375-31,193-155,965-343,123-779,825-1,715,615-3,899,125-8,578,075-42,890,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,890,375:


Ask a Question