Q: What are the factor combinations of the number 40,703,917?

 A:
Positive:   1 x 40703917251 x 162167257 x 158381631 x 64507
Negative: -1 x -40703917-251 x -162167-257 x -158381-631 x -64507


How do I find the factor combinations of the number 40,703,917?

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 40,703,917, 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 40,703,917
-1 -40,703,917

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 40,703,917.

Example:
1 x 40,703,917 = 40,703,917
and
-1 x -40,703,917 = 40,703,917
Notice both answers equal 40,703,917

With that explanation out of the way, let's continue. Next, we take the number 40,703,917 and divide it by 2:

40,703,917 ÷ 2 = 20,351,958.5

If the quotient is a whole number, then 2 and 20,351,958.5 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 40,703,917
-1 -40,703,917

Now, we try dividing 40,703,917 by 3:

40,703,917 ÷ 3 = 13,567,972.3333

If the quotient is a whole number, then 3 and 13,567,972.3333 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 40,703,917
-1 -40,703,917

Let's try dividing by 4:

40,703,917 ÷ 4 = 10,175,979.25

If the quotient is a whole number, then 4 and 10,175,979.25 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 40,703,917
-1 40,703,917
Keep dividing by the next highest number until you cannot divide anymore.

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

125125763164,507158,381162,16740,703,917
-1-251-257-631-64,507-158,381-162,167-40,703,917

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,703,917:


Ask a Question