Q: What are the factor combinations of the number 24,002,225?

 A:
Positive:   1 x 240022255 x 480044513 x 184632519 x 126327523 x 104357525 x 96008965 x 36926595 x 252655115 x 208715169 x 142025247 x 97175299 x 80275325 x 73853437 x 54925475 x 50531575 x 41743845 x 284051235 x 194351495 x 160552185 x 109852197 x 109253211 x 74753887 x 61754225 x 5681
Negative: -1 x -24002225-5 x -4800445-13 x -1846325-19 x -1263275-23 x -1043575-25 x -960089-65 x -369265-95 x -252655-115 x -208715-169 x -142025-247 x -97175-299 x -80275-325 x -73853-437 x -54925-475 x -50531-575 x -41743-845 x -28405-1235 x -19435-1495 x -16055-2185 x -10985-2197 x -10925-3211 x -7475-3887 x -6175-4225 x -5681


How do I find the factor combinations of the number 24,002,225?

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 24,002,225, 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 24,002,225
-1 -24,002,225

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 24,002,225.

Example:
1 x 24,002,225 = 24,002,225
and
-1 x -24,002,225 = 24,002,225
Notice both answers equal 24,002,225

With that explanation out of the way, let's continue. Next, we take the number 24,002,225 and divide it by 2:

24,002,225 ÷ 2 = 12,001,112.5

If the quotient is a whole number, then 2 and 12,001,112.5 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 24,002,225
-1 -24,002,225

Now, we try dividing 24,002,225 by 3:

24,002,225 ÷ 3 = 8,000,741.6667

If the quotient is a whole number, then 3 and 8,000,741.6667 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 24,002,225
-1 -24,002,225

Let's try dividing by 4:

24,002,225 ÷ 4 = 6,000,556.25

If the quotient is a whole number, then 4 and 6,000,556.25 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 24,002,225
-1 24,002,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151319232565951151692472993254374755758451,2351,4952,1852,1973,2113,8874,2255,6816,1757,47510,92510,98516,05519,43528,40541,74350,53154,92573,85380,27597,175142,025208,715252,655369,265960,0891,043,5751,263,2751,846,3254,800,44524,002,225
-1-5-13-19-23-25-65-95-115-169-247-299-325-437-475-575-845-1,235-1,495-2,185-2,197-3,211-3,887-4,225-5,681-6,175-7,475-10,925-10,985-16,055-19,435-28,405-41,743-50,531-54,925-73,853-80,275-97,175-142,025-208,715-252,655-369,265-960,089-1,043,575-1,263,275-1,846,325-4,800,445-24,002,225

More Examples

Here are some more numbers to try:

24,002,22324,002,22424,002,22624,002,227
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