Q: What are the factor combinations of the number 244,475?

 A:
Positive:   1 x 2444755 x 488957 x 3492511 x 2222525 x 977935 x 698555 x 444577 x 3175127 x 1925175 x 1397275 x 889385 x 635
Negative: -1 x -244475-5 x -48895-7 x -34925-11 x -22225-25 x -9779-35 x -6985-55 x -4445-77 x -3175-127 x -1925-175 x -1397-275 x -889-385 x -635


How do I find the factor combinations of the number 244,475?

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 244,475, 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.

1 244,475
-1 -244,475

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 244,475.

Example:
1 x 244,475 = 244,475
and
-1 x -244,475 = 244,475
Notice both answers equal 244,475

With that explanation out of the way, let's continue. Next, we take the number 244,475 and divide it by 2:

244,475 ÷ 2 = 122,237.5

If the quotient is a whole number, then 2 and 122,237.5 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:

1 244,475
-1 -244,475

Now, we try dividing 244,475 by 3:

244,475 ÷ 3 = 81,491.6667

If the quotient is a whole number, then 3 and 81,491.6667 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:

1 244,475
-1 -244,475

Let's try dividing by 4:

244,475 ÷ 4 = 61,118.75

If the quotient is a whole number, then 4 and 61,118.75 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:

1 244,475
-1 244,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771271752753856358891,3971,9253,1754,4456,9859,77922,22534,92548,895244,475
-1-5-7-11-25-35-55-77-127-175-275-385-635-889-1,397-1,925-3,175-4,445-6,985-9,779-22,225-34,925-48,895-244,475

More Examples

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