Q: What are the factor combinations of the number 529,925?

 A:
Positive:   1 x 5299255 x 10598511 x 4817525 x 2119741 x 1292547 x 1127555 x 9635205 x 2585235 x 2255275 x 1927451 x 1175517 x 1025
Negative: -1 x -529925-5 x -105985-11 x -48175-25 x -21197-41 x -12925-47 x -11275-55 x -9635-205 x -2585-235 x -2255-275 x -1927-451 x -1175-517 x -1025


How do I find the factor combinations of the number 529,925?

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 529,925, 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.

1 529,925
-1 -529,925

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 529,925.

Example:
1 x 529,925 = 529,925
and
-1 x -529,925 = 529,925
Notice both answers equal 529,925

With that explanation out of the way, let's continue. Next, we take the number 529,925 and divide it by 2:

529,925 ÷ 2 = 264,962.5

If the quotient is a whole number, then 2 and 264,962.5 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:

1 529,925
-1 -529,925

Now, we try dividing 529,925 by 3:

529,925 ÷ 3 = 176,641.6667

If the quotient is a whole number, then 3 and 176,641.6667 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:

1 529,925
-1 -529,925

Let's try dividing by 4:

529,925 ÷ 4 = 132,481.25

If the quotient is a whole number, then 4 and 132,481.25 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:

1 529,925
-1 529,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1511254147552052352754515171,0251,1751,9272,2552,5859,63511,27512,92521,19748,175105,985529,925
-1-5-11-25-41-47-55-205-235-275-451-517-1,025-1,175-1,927-2,255-2,585-9,635-11,275-12,925-21,197-48,175-105,985-529,925

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