Q: What are the factor combinations of the number 20,325,025?

 A:
Positive:   1 x 203250255 x 40650057 x 290357525 x 81300135 x 58071537 x 54932543 x 47267573 x 278425175 x 116143185 x 109865215 x 94535259 x 78475301 x 67525365 x 55685511 x 39775925 x 219731075 x 189071295 x 156951505 x 135051591 x 127751825 x 111372555 x 79552701 x 75253139 x 6475
Negative: -1 x -20325025-5 x -4065005-7 x -2903575-25 x -813001-35 x -580715-37 x -549325-43 x -472675-73 x -278425-175 x -116143-185 x -109865-215 x -94535-259 x -78475-301 x -67525-365 x -55685-511 x -39775-925 x -21973-1075 x -18907-1295 x -15695-1505 x -13505-1591 x -12775-1825 x -11137-2555 x -7955-2701 x -7525-3139 x -6475


How do I find the factor combinations of the number 20,325,025?

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 20,325,025, 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 20,325,025
-1 -20,325,025

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 20,325,025.

Example:
1 x 20,325,025 = 20,325,025
and
-1 x -20,325,025 = 20,325,025
Notice both answers equal 20,325,025

With that explanation out of the way, let's continue. Next, we take the number 20,325,025 and divide it by 2:

20,325,025 ÷ 2 = 10,162,512.5

If the quotient is a whole number, then 2 and 10,162,512.5 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 20,325,025
-1 -20,325,025

Now, we try dividing 20,325,025 by 3:

20,325,025 ÷ 3 = 6,775,008.3333

If the quotient is a whole number, then 3 and 6,775,008.3333 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 20,325,025
-1 -20,325,025

Let's try dividing by 4:

20,325,025 ÷ 4 = 5,081,256.25

If the quotient is a whole number, then 4 and 5,081,256.25 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 20,325,025
-1 20,325,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725353743731751852152593013655119251,0751,2951,5051,5911,8252,5552,7013,1396,4757,5257,95511,13712,77513,50515,69518,90721,97339,77555,68567,52578,47594,535109,865116,143278,425472,675549,325580,715813,0012,903,5754,065,00520,325,025
-1-5-7-25-35-37-43-73-175-185-215-259-301-365-511-925-1,075-1,295-1,505-1,591-1,825-2,555-2,701-3,139-6,475-7,525-7,955-11,137-12,775-13,505-15,695-18,907-21,973-39,775-55,685-67,525-78,475-94,535-109,865-116,143-278,425-472,675-549,325-580,715-813,001-2,903,575-4,065,005-20,325,025

More Examples

Here are some more numbers to try:

20,325,02320,325,02420,325,02620,325,027
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