Q: What are the factor combinations of the number 551,252,149?

 A:
Positive:   1 x 5512521497 x 7875030717 x 3242659719 x 29013271119 x 4632371133 x 4144753323 x 17066632261 x 243809
Negative: -1 x -551252149-7 x -78750307-17 x -32426597-19 x -29013271-119 x -4632371-133 x -4144753-323 x -1706663-2261 x -243809


How do I find the factor combinations of the number 551,252,149?

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 551,252,149, 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.

1 551,252,149
-1 -551,252,149

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 551,252,149.

Example:
1 x 551,252,149 = 551,252,149
and
-1 x -551,252,149 = 551,252,149
Notice both answers equal 551,252,149

With that explanation out of the way, let's continue. Next, we take the number 551,252,149 and divide it by 2:

551,252,149 ÷ 2 = 275,626,074.5

If the quotient is a whole number, then 2 and 275,626,074.5 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:

1 551,252,149
-1 -551,252,149

Now, we try dividing 551,252,149 by 3:

551,252,149 ÷ 3 = 183,750,716.3333

If the quotient is a whole number, then 3 and 183,750,716.3333 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:

1 551,252,149
-1 -551,252,149

Let's try dividing by 4:

551,252,149 ÷ 4 = 137,813,037.25

If the quotient is a whole number, then 4 and 137,813,037.25 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:

1 551,252,149
-1 551,252,149
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,261243,8091,706,6634,144,7534,632,37129,013,27132,426,59778,750,307551,252,149
-1-7-17-19-119-133-323-2,261-243,809-1,706,663-4,144,753-4,632,371-29,013,271-32,426,597-78,750,307-551,252,149

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