Q: What are the factor combinations of the number 40,546,751?

 A:
Positive:   1 x 405467517 x 579239317 x 238510371 x 571081119 x 340729497 x 815831207 x 335934799 x 8449
Negative: -1 x -40546751-7 x -5792393-17 x -2385103-71 x -571081-119 x -340729-497 x -81583-1207 x -33593-4799 x -8449


How do I find the factor combinations of the number 40,546,751?

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 40,546,751, 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 40,546,751
-1 -40,546,751

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 40,546,751.

Example:
1 x 40,546,751 = 40,546,751
and
-1 x -40,546,751 = 40,546,751
Notice both answers equal 40,546,751

With that explanation out of the way, let's continue. Next, we take the number 40,546,751 and divide it by 2:

40,546,751 ÷ 2 = 20,273,375.5

If the quotient is a whole number, then 2 and 20,273,375.5 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 40,546,751
-1 -40,546,751

Now, we try dividing 40,546,751 by 3:

40,546,751 ÷ 3 = 13,515,583.6667

If the quotient is a whole number, then 3 and 13,515,583.6667 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 40,546,751
-1 -40,546,751

Let's try dividing by 4:

40,546,751 ÷ 4 = 10,136,687.75

If the quotient is a whole number, then 4 and 10,136,687.75 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 40,546,751
-1 40,546,751
Keep dividing by the next highest number until you cannot divide anymore.

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

1717711194971,2074,7998,44933,59381,583340,729571,0812,385,1035,792,39340,546,751
-1-7-17-71-119-497-1,207-4,799-8,449-33,593-81,583-340,729-571,081-2,385,103-5,792,393-40,546,751

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,546,751:


Ask a Question