Q: What are the factor combinations of the number 483,531,037?

 A:
Positive:   1 x 48353103711 x 4395736789 x 5432933127 x 3807331979 x 4939031397 x 3461213889 x 12433311303 x 42779
Negative: -1 x -483531037-11 x -43957367-89 x -5432933-127 x -3807331-979 x -493903-1397 x -346121-3889 x -124333-11303 x -42779


How do I find the factor combinations of the number 483,531,037?

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 483,531,037, 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.

1 483,531,037
-1 -483,531,037

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 483,531,037.

Example:
1 x 483,531,037 = 483,531,037
and
-1 x -483,531,037 = 483,531,037
Notice both answers equal 483,531,037

With that explanation out of the way, let's continue. Next, we take the number 483,531,037 and divide it by 2:

483,531,037 ÷ 2 = 241,765,518.5

If the quotient is a whole number, then 2 and 241,765,518.5 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:

1 483,531,037
-1 -483,531,037

Now, we try dividing 483,531,037 by 3:

483,531,037 ÷ 3 = 161,177,012.3333

If the quotient is a whole number, then 3 and 161,177,012.3333 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:

1 483,531,037
-1 -483,531,037

Let's try dividing by 4:

483,531,037 ÷ 4 = 120,882,759.25

If the quotient is a whole number, then 4 and 120,882,759.25 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:

1 483,531,037
-1 483,531,037
Keep dividing by the next highest number until you cannot divide anymore.

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

111891279791,3973,88911,30342,779124,333346,121493,9033,807,3315,432,93343,957,367483,531,037
-1-11-89-127-979-1,397-3,889-11,303-42,779-124,333-346,121-493,903-3,807,331-5,432,933-43,957,367-483,531,037

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