Q: What are the factor combinations of the number 551,360,431?

 A:
Positive:   1 x 55136043147 x 1173107353 x 10403027389 x 1417379569 x 9689992491 x 22134118283 x 3015720617 x 26743
Negative: -1 x -551360431-47 x -11731073-53 x -10403027-389 x -1417379-569 x -968999-2491 x -221341-18283 x -30157-20617 x -26743


How do I find the factor combinations of the number 551,360,431?

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 551,360,431, 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.

1 551,360,431
-1 -551,360,431

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 551,360,431.

Example:
1 x 551,360,431 = 551,360,431
and
-1 x -551,360,431 = 551,360,431
Notice both answers equal 551,360,431

With that explanation out of the way, let's continue. Next, we take the number 551,360,431 and divide it by 2:

551,360,431 ÷ 2 = 275,680,215.5

If the quotient is a whole number, then 2 and 275,680,215.5 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:

1 551,360,431
-1 -551,360,431

Now, we try dividing 551,360,431 by 3:

551,360,431 ÷ 3 = 183,786,810.3333

If the quotient is a whole number, then 3 and 183,786,810.3333 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:

1 551,360,431
-1 -551,360,431

Let's try dividing by 4:

551,360,431 ÷ 4 = 137,840,107.75

If the quotient is a whole number, then 4 and 137,840,107.75 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:

1 551,360,431
-1 551,360,431
Keep dividing by the next highest number until you cannot divide anymore.

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

147533895692,49118,28320,61726,74330,157221,341968,9991,417,37910,403,02711,731,073551,360,431
-1-47-53-389-569-2,491-18,283-20,617-26,743-30,157-221,341-968,999-1,417,379-10,403,027-11,731,073-551,360,431

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