Q: What are the factor combinations of the number 43,042,505?

 A:
Positive:   1 x 430425055 x 860850111 x 391295519 x 226539555 x 78259195 x 453079209 x 2059451045 x 41189
Negative: -1 x -43042505-5 x -8608501-11 x -3912955-19 x -2265395-55 x -782591-95 x -453079-209 x -205945-1045 x -41189


How do I find the factor combinations of the number 43,042,505?

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 43,042,505, 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 43,042,505
-1 -43,042,505

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 43,042,505.

Example:
1 x 43,042,505 = 43,042,505
and
-1 x -43,042,505 = 43,042,505
Notice both answers equal 43,042,505

With that explanation out of the way, let's continue. Next, we take the number 43,042,505 and divide it by 2:

43,042,505 ÷ 2 = 21,521,252.5

If the quotient is a whole number, then 2 and 21,521,252.5 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 43,042,505
-1 -43,042,505

Now, we try dividing 43,042,505 by 3:

43,042,505 ÷ 3 = 14,347,501.6667

If the quotient is a whole number, then 3 and 14,347,501.6667 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 43,042,505
-1 -43,042,505

Let's try dividing by 4:

43,042,505 ÷ 4 = 10,760,626.25

If the quotient is a whole number, then 4 and 10,760,626.25 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 43,042,505
-1 43,042,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04541,189205,945453,079782,5912,265,3953,912,9558,608,50143,042,505
-1-5-11-19-55-95-209-1,045-41,189-205,945-453,079-782,591-2,265,395-3,912,955-8,608,501-43,042,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,042,505:


Ask a Question