Q: What are the factor combinations of the number 42,078,535?

 A:
Positive:   1 x 420785355 x 84157071553 x 270955419 x 7765
Negative: -1 x -42078535-5 x -8415707-1553 x -27095-5419 x -7765


How do I find the factor combinations of the number 42,078,535?

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 42,078,535, 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 42,078,535
-1 -42,078,535

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 42,078,535.

Example:
1 x 42,078,535 = 42,078,535
and
-1 x -42,078,535 = 42,078,535
Notice both answers equal 42,078,535

With that explanation out of the way, let's continue. Next, we take the number 42,078,535 and divide it by 2:

42,078,535 ÷ 2 = 21,039,267.5

If the quotient is a whole number, then 2 and 21,039,267.5 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 42,078,535
-1 -42,078,535

Now, we try dividing 42,078,535 by 3:

42,078,535 ÷ 3 = 14,026,178.3333

If the quotient is a whole number, then 3 and 14,026,178.3333 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 42,078,535
-1 -42,078,535

Let's try dividing by 4:

42,078,535 ÷ 4 = 10,519,633.75

If the quotient is a whole number, then 4 and 10,519,633.75 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 42,078,535
-1 42,078,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151,5535,4197,76527,0958,415,70742,078,535
-1-5-1,553-5,419-7,765-27,095-8,415,707-42,078,535

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,078,535:


Ask a Question