Q: What are the factor combinations of the number 351,401,245?

 A:
Positive:   1 x 3514012455 x 7028024913 x 2703086523 x 1527831565 x 5406173115 x 3055663299 x 11752551495 x 235051
Negative: -1 x -351401245-5 x -70280249-13 x -27030865-23 x -15278315-65 x -5406173-115 x -3055663-299 x -1175255-1495 x -235051


How do I find the factor combinations of the number 351,401,245?

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 351,401,245, 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.

1 351,401,245
-1 -351,401,245

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 351,401,245.

Example:
1 x 351,401,245 = 351,401,245
and
-1 x -351,401,245 = 351,401,245
Notice both answers equal 351,401,245

With that explanation out of the way, let's continue. Next, we take the number 351,401,245 and divide it by 2:

351,401,245 ÷ 2 = 175,700,622.5

If the quotient is a whole number, then 2 and 175,700,622.5 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:

1 351,401,245
-1 -351,401,245

Now, we try dividing 351,401,245 by 3:

351,401,245 ÷ 3 = 117,133,748.3333

If the quotient is a whole number, then 3 and 117,133,748.3333 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:

1 351,401,245
-1 -351,401,245

Let's try dividing by 4:

351,401,245 ÷ 4 = 87,850,311.25

If the quotient is a whole number, then 4 and 87,850,311.25 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:

1 351,401,245
-1 351,401,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,495235,0511,175,2553,055,6635,406,17315,278,31527,030,86570,280,249351,401,245
-1-5-13-23-65-115-299-1,495-235,051-1,175,255-3,055,663-5,406,173-15,278,315-27,030,865-70,280,249-351,401,245

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