Q: What are the factor combinations of the number 28,417,217?

 A:
Positive:   1 x 2841721717 x 167160119 x 149564397 x 292961323 x 87979907 x 313311649 x 172331843 x 15419
Negative: -1 x -28417217-17 x -1671601-19 x -1495643-97 x -292961-323 x -87979-907 x -31331-1649 x -17233-1843 x -15419


How do I find the factor combinations of the number 28,417,217?

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 28,417,217, 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 28,417,217
-1 -28,417,217

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 28,417,217.

Example:
1 x 28,417,217 = 28,417,217
and
-1 x -28,417,217 = 28,417,217
Notice both answers equal 28,417,217

With that explanation out of the way, let's continue. Next, we take the number 28,417,217 and divide it by 2:

28,417,217 ÷ 2 = 14,208,608.5

If the quotient is a whole number, then 2 and 14,208,608.5 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 28,417,217
-1 -28,417,217

Now, we try dividing 28,417,217 by 3:

28,417,217 ÷ 3 = 9,472,405.6667

If the quotient is a whole number, then 3 and 9,472,405.6667 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 28,417,217
-1 -28,417,217

Let's try dividing by 4:

28,417,217 ÷ 4 = 7,104,304.25

If the quotient is a whole number, then 4 and 7,104,304.25 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 28,417,217
-1 28,417,217
Keep dividing by the next highest number until you cannot divide anymore.

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

11719973239071,6491,84315,41917,23331,33187,979292,9611,495,6431,671,60128,417,217
-1-17-19-97-323-907-1,649-1,843-15,419-17,233-31,331-87,979-292,961-1,495,643-1,671,601-28,417,217

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,417,217:


Ask a Question