Q: What are the factor combinations of the number 562,925?

 A:
Positive:   1 x 5629255 x 11258511 x 5117523 x 2447525 x 2251755 x 1023589 x 6325115 x 4895253 x 2225275 x 2047445 x 1265575 x 979
Negative: -1 x -562925-5 x -112585-11 x -51175-23 x -24475-25 x -22517-55 x -10235-89 x -6325-115 x -4895-253 x -2225-275 x -2047-445 x -1265-575 x -979


How do I find the factor combinations of the number 562,925?

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 562,925, 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.

1 562,925
-1 -562,925

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 562,925.

Example:
1 x 562,925 = 562,925
and
-1 x -562,925 = 562,925
Notice both answers equal 562,925

With that explanation out of the way, let's continue. Next, we take the number 562,925 and divide it by 2:

562,925 ÷ 2 = 281,462.5

If the quotient is a whole number, then 2 and 281,462.5 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:

1 562,925
-1 -562,925

Now, we try dividing 562,925 by 3:

562,925 ÷ 3 = 187,641.6667

If the quotient is a whole number, then 3 and 187,641.6667 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:

1 562,925
-1 -562,925

Let's try dividing by 4:

562,925 ÷ 4 = 140,731.25

If the quotient is a whole number, then 4 and 140,731.25 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:

1 562,925
-1 562,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1511232555891152532754455759791,2652,0472,2254,8956,32510,23522,51724,47551,175112,585562,925
-1-5-11-23-25-55-89-115-253-275-445-575-979-1,265-2,047-2,225-4,895-6,325-10,235-22,517-24,475-51,175-112,585-562,925

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