Q: What are the factor combinations of the number 551,343,143?

 A:
Positive:   1 x 55134314313 x 4241101123 x 23971441101 x 5458843299 x 18439571313 x 4199112323 x 23734118257 x 30199
Negative: -1 x -551343143-13 x -42411011-23 x -23971441-101 x -5458843-299 x -1843957-1313 x -419911-2323 x -237341-18257 x -30199


How do I find the factor combinations of the number 551,343,143?

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 551,343,143, 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.

1 551,343,143
-1 -551,343,143

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 551,343,143.

Example:
1 x 551,343,143 = 551,343,143
and
-1 x -551,343,143 = 551,343,143
Notice both answers equal 551,343,143

With that explanation out of the way, let's continue. Next, we take the number 551,343,143 and divide it by 2:

551,343,143 ÷ 2 = 275,671,571.5

If the quotient is a whole number, then 2 and 275,671,571.5 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:

1 551,343,143
-1 -551,343,143

Now, we try dividing 551,343,143 by 3:

551,343,143 ÷ 3 = 183,781,047.6667

If the quotient is a whole number, then 3 and 183,781,047.6667 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:

1 551,343,143
-1 -551,343,143

Let's try dividing by 4:

551,343,143 ÷ 4 = 137,835,785.75

If the quotient is a whole number, then 4 and 137,835,785.75 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:

1 551,343,143
-1 551,343,143
Keep dividing by the next highest number until you cannot divide anymore.

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

113231012991,3132,32318,25730,199237,341419,9111,843,9575,458,84323,971,44142,411,011551,343,143
-1-13-23-101-299-1,313-2,323-18,257-30,199-237,341-419,911-1,843,957-5,458,843-23,971,441-42,411,011-551,343,143

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