Q: What are the factor combinations of the number 252,342,025?

 A:
Positive:   1 x 2523420255 x 5046840513 x 1941092525 x 1009368165 x 3882185131 x 1926275325 x 776437655 x 3852551703 x 1481753275 x 770515927 x 425758515 x 29635
Negative: -1 x -252342025-5 x -50468405-13 x -19410925-25 x -10093681-65 x -3882185-131 x -1926275-325 x -776437-655 x -385255-1703 x -148175-3275 x -77051-5927 x -42575-8515 x -29635


How do I find the factor combinations of the number 252,342,025?

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 252,342,025, 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.

1 252,342,025
-1 -252,342,025

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 252,342,025.

Example:
1 x 252,342,025 = 252,342,025
and
-1 x -252,342,025 = 252,342,025
Notice both answers equal 252,342,025

With that explanation out of the way, let's continue. Next, we take the number 252,342,025 and divide it by 2:

252,342,025 ÷ 2 = 126,171,012.5

If the quotient is a whole number, then 2 and 126,171,012.5 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:

1 252,342,025
-1 -252,342,025

Now, we try dividing 252,342,025 by 3:

252,342,025 ÷ 3 = 84,114,008.3333

If the quotient is a whole number, then 3 and 84,114,008.3333 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:

1 252,342,025
-1 -252,342,025

Let's try dividing by 4:

252,342,025 ÷ 4 = 63,085,506.25

If the quotient is a whole number, then 4 and 63,085,506.25 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:

1 252,342,025
-1 252,342,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651313256551,7033,2755,9278,51529,63542,57577,051148,175385,255776,4371,926,2753,882,18510,093,68119,410,92550,468,405252,342,025
-1-5-13-25-65-131-325-655-1,703-3,275-5,927-8,515-29,635-42,575-77,051-148,175-385,255-776,437-1,926,275-3,882,185-10,093,681-19,410,925-50,468,405-252,342,025

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