Q: What are the factor combinations of the number 27,417,924?

 A:
Positive:   1 x 274179242 x 137089623 x 91393084 x 68544816 x 45696549 x 304643612 x 228482718 x 152321836 x 76160973 x 375588146 x 187794219 x 125196292 x 93897438 x 62598657 x 41732876 x 312991314 x 208662628 x 10433
Negative: -1 x -27417924-2 x -13708962-3 x -9139308-4 x -6854481-6 x -4569654-9 x -3046436-12 x -2284827-18 x -1523218-36 x -761609-73 x -375588-146 x -187794-219 x -125196-292 x -93897-438 x -62598-657 x -41732-876 x -31299-1314 x -20866-2628 x -10433


How do I find the factor combinations of the number 27,417,924?

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 27,417,924, 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 27,417,924
-1 -27,417,924

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 27,417,924.

Example:
1 x 27,417,924 = 27,417,924
and
-1 x -27,417,924 = 27,417,924
Notice both answers equal 27,417,924

With that explanation out of the way, let's continue. Next, we take the number 27,417,924 and divide it by 2:

27,417,924 ÷ 2 = 13,708,962

If the quotient is a whole number, then 2 and 13,708,962 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 13,708,962 27,417,924
-1 -2 -13,708,962 -27,417,924

Now, we try dividing 27,417,924 by 3:

27,417,924 ÷ 3 = 9,139,308

If the quotient is a whole number, then 3 and 9,139,308 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 9,139,308 13,708,962 27,417,924
-1 -2 -3 -9,139,308 -13,708,962 -27,417,924

Let's try dividing by 4:

27,417,924 ÷ 4 = 6,854,481

If the quotient is a whole number, then 4 and 6,854,481 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 6,854,481 9,139,308 13,708,962 27,417,924
-1 -2 -3 -4 -6,854,481 -9,139,308 -13,708,962 27,417,924
Keep dividing by the next highest number until you cannot divide anymore.

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

123469121836731462192924386578761,3142,62810,43320,86631,29941,73262,59893,897125,196187,794375,588761,6091,523,2182,284,8273,046,4364,569,6546,854,4819,139,30813,708,96227,417,924
-1-2-3-4-6-9-12-18-36-73-146-219-292-438-657-876-1,314-2,628-10,433-20,866-31,299-41,732-62,598-93,897-125,196-187,794-375,588-761,609-1,523,218-2,284,827-3,046,436-4,569,654-6,854,481-9,139,308-13,708,962-27,417,924

More Examples

Here are some more numbers to try:

27,417,92227,417,92327,417,92527,417,926
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