Q: What are the factor combinations of the number 52,132,025?

 A:
Positive:   1 x 521320255 x 1042640511 x 473927525 x 208528155 x 947855275 x 189571293 x 177925647 x 805751465 x 355853223 x 161753235 x 161157117 x 7325
Negative: -1 x -52132025-5 x -10426405-11 x -4739275-25 x -2085281-55 x -947855-275 x -189571-293 x -177925-647 x -80575-1465 x -35585-3223 x -16175-3235 x -16115-7117 x -7325


How do I find the factor combinations of the number 52,132,025?

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 52,132,025, 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 52,132,025
-1 -52,132,025

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 52,132,025.

Example:
1 x 52,132,025 = 52,132,025
and
-1 x -52,132,025 = 52,132,025
Notice both answers equal 52,132,025

With that explanation out of the way, let's continue. Next, we take the number 52,132,025 and divide it by 2:

52,132,025 ÷ 2 = 26,066,012.5

If the quotient is a whole number, then 2 and 26,066,012.5 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 52,132,025
-1 -52,132,025

Now, we try dividing 52,132,025 by 3:

52,132,025 ÷ 3 = 17,377,341.6667

If the quotient is a whole number, then 3 and 17,377,341.6667 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 52,132,025
-1 -52,132,025

Let's try dividing by 4:

52,132,025 ÷ 4 = 13,033,006.25

If the quotient is a whole number, then 4 and 13,033,006.25 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 52,132,025
-1 52,132,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552752936471,4653,2233,2357,1177,32516,11516,17535,58580,575177,925189,571947,8552,085,2814,739,27510,426,40552,132,025
-1-5-11-25-55-275-293-647-1,465-3,223-3,235-7,117-7,325-16,115-16,175-35,585-80,575-177,925-189,571-947,855-2,085,281-4,739,275-10,426,405-52,132,025

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