Q: What are the factor combinations of the number 42,076,895?

 A:
Positive:   1 x 420768955 x 84153797 x 601098535 x 1202197193 x 218015965 x 436031351 x 311456229 x 6755
Negative: -1 x -42076895-5 x -8415379-7 x -6010985-35 x -1202197-193 x -218015-965 x -43603-1351 x -31145-6229 x -6755


How do I find the factor combinations of the number 42,076,895?

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 42,076,895, 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 42,076,895
-1 -42,076,895

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 42,076,895.

Example:
1 x 42,076,895 = 42,076,895
and
-1 x -42,076,895 = 42,076,895
Notice both answers equal 42,076,895

With that explanation out of the way, let's continue. Next, we take the number 42,076,895 and divide it by 2:

42,076,895 ÷ 2 = 21,038,447.5

If the quotient is a whole number, then 2 and 21,038,447.5 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 42,076,895
-1 -42,076,895

Now, we try dividing 42,076,895 by 3:

42,076,895 ÷ 3 = 14,025,631.6667

If the quotient is a whole number, then 3 and 14,025,631.6667 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 42,076,895
-1 -42,076,895

Let's try dividing by 4:

42,076,895 ÷ 4 = 10,519,223.75

If the quotient is a whole number, then 4 and 10,519,223.75 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 42,076,895
-1 42,076,895
Keep dividing by the next highest number until you cannot divide anymore.

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

157351939651,3516,2296,75531,14543,603218,0151,202,1976,010,9858,415,37942,076,895
-1-5-7-35-193-965-1,351-6,229-6,755-31,145-43,603-218,015-1,202,197-6,010,985-8,415,379-42,076,895

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,076,895:


Ask a Question