Q: What are the factor combinations of the number 20,024,725?

 A:
Positive:   1 x 200247255 x 40049457 x 286067517 x 117792525 x 80098935 x 57213553 x 37782585 x 235585119 x 168275127 x 157675175 x 114427265 x 75565371 x 53975425 x 47117595 x 33655635 x 31535889 x 22525901 x 222251325 x 151131855 x 107952159 x 92752975 x 67313175 x 63074445 x 4505
Negative: -1 x -20024725-5 x -4004945-7 x -2860675-17 x -1177925-25 x -800989-35 x -572135-53 x -377825-85 x -235585-119 x -168275-127 x -157675-175 x -114427-265 x -75565-371 x -53975-425 x -47117-595 x -33655-635 x -31535-889 x -22525-901 x -22225-1325 x -15113-1855 x -10795-2159 x -9275-2975 x -6731-3175 x -6307-4445 x -4505


How do I find the factor combinations of the number 20,024,725?

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 20,024,725, 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 20,024,725
-1 -20,024,725

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 20,024,725.

Example:
1 x 20,024,725 = 20,024,725
and
-1 x -20,024,725 = 20,024,725
Notice both answers equal 20,024,725

With that explanation out of the way, let's continue. Next, we take the number 20,024,725 and divide it by 2:

20,024,725 ÷ 2 = 10,012,362.5

If the quotient is a whole number, then 2 and 10,012,362.5 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 20,024,725
-1 -20,024,725

Now, we try dividing 20,024,725 by 3:

20,024,725 ÷ 3 = 6,674,908.3333

If the quotient is a whole number, then 3 and 6,674,908.3333 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 20,024,725
-1 -20,024,725

Let's try dividing by 4:

20,024,725 ÷ 4 = 5,006,181.25

If the quotient is a whole number, then 4 and 5,006,181.25 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 20,024,725
-1 20,024,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15717253553851191271752653714255956358899011,3251,8552,1592,9753,1754,4454,5056,3076,7319,27510,79515,11322,22522,52531,53533,65547,11753,97575,565114,427157,675168,275235,585377,825572,135800,9891,177,9252,860,6754,004,94520,024,725
-1-5-7-17-25-35-53-85-119-127-175-265-371-425-595-635-889-901-1,325-1,855-2,159-2,975-3,175-4,445-4,505-6,307-6,731-9,275-10,795-15,113-22,225-22,525-31,535-33,655-47,117-53,975-75,565-114,427-157,675-168,275-235,585-377,825-572,135-800,989-1,177,925-2,860,675-4,004,945-20,024,725

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