Q: What are the factor combinations of the number 24,049,025?

 A:
Positive:   1 x 240490255 x 48098057 x 343557511 x 218627513 x 184992525 x 96196131 x 77577535 x 68711555 x 43725565 x 36998577 x 31232591 x 264275143 x 168175155 x 155155175 x 137423217 x 110825275 x 87451325 x 73997341 x 70525385 x 62465403 x 59675455 x 52855715 x 33635775 x 31031961 x 250251001 x 240251085 x 221651705 x 141051925 x 124932015 x 119352275 x 105712387 x 100752821 x 85253575 x 67274433 x 54254805 x 5005
Negative: -1 x -24049025-5 x -4809805-7 x -3435575-11 x -2186275-13 x -1849925-25 x -961961-31 x -775775-35 x -687115-55 x -437255-65 x -369985-77 x -312325-91 x -264275-143 x -168175-155 x -155155-175 x -137423-217 x -110825-275 x -87451-325 x -73997-341 x -70525-385 x -62465-403 x -59675-455 x -52855-715 x -33635-775 x -31031-961 x -25025-1001 x -24025-1085 x -22165-1705 x -14105-1925 x -12493-2015 x -11935-2275 x -10571-2387 x -10075-2821 x -8525-3575 x -6727-4433 x -5425-4805 x -5005


How do I find the factor combinations of the number 24,049,025?

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 24,049,025, 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 24,049,025
-1 -24,049,025

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 24,049,025.

Example:
1 x 24,049,025 = 24,049,025
and
-1 x -24,049,025 = 24,049,025
Notice both answers equal 24,049,025

With that explanation out of the way, let's continue. Next, we take the number 24,049,025 and divide it by 2:

24,049,025 ÷ 2 = 12,024,512.5

If the quotient is a whole number, then 2 and 12,024,512.5 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 24,049,025
-1 -24,049,025

Now, we try dividing 24,049,025 by 3:

24,049,025 ÷ 3 = 8,016,341.6667

If the quotient is a whole number, then 3 and 8,016,341.6667 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 24,049,025
-1 -24,049,025

Let's try dividing by 4:

24,049,025 ÷ 4 = 6,012,256.25

If the quotient is a whole number, then 4 and 6,012,256.25 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 24,049,025
-1 24,049,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1571113253135556577911431551752172753253413854034557157759611,0011,0851,7051,9252,0152,2752,3872,8213,5754,4334,8055,0055,4256,7278,52510,07510,57111,93512,49314,10522,16524,02525,02531,03133,63552,85559,67562,46570,52573,99787,451110,825137,423155,155168,175264,275312,325369,985437,255687,115775,775961,9611,849,9252,186,2753,435,5754,809,80524,049,025
-1-5-7-11-13-25-31-35-55-65-77-91-143-155-175-217-275-325-341-385-403-455-715-775-961-1,001-1,085-1,705-1,925-2,015-2,275-2,387-2,821-3,575-4,433-4,805-5,005-5,425-6,727-8,525-10,075-10,571-11,935-12,493-14,105-22,165-24,025-25,025-31,031-33,635-52,855-59,675-62,465-70,525-73,997-87,451-110,825-137,423-155,155-168,175-264,275-312,325-369,985-437,255-687,115-775,775-961,961-1,849,925-2,186,275-3,435,575-4,809,805-24,049,025

More Examples

Here are some more numbers to try:

24,049,02324,049,02424,049,02624,049,027
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