Q: What are the factor combinations of the number 353,778,847?

 A:
Positive:   1 x 35377884723 x 15381689211 x 1676677269 x 1315163271 x 13054574853 x 728996187 x 571816233 x 56759
Negative: -1 x -353778847-23 x -15381689-211 x -1676677-269 x -1315163-271 x -1305457-4853 x -72899-6187 x -57181-6233 x -56759


How do I find the factor combinations of the number 353,778,847?

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 353,778,847, 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.

1 353,778,847
-1 -353,778,847

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 353,778,847.

Example:
1 x 353,778,847 = 353,778,847
and
-1 x -353,778,847 = 353,778,847
Notice both answers equal 353,778,847

With that explanation out of the way, let's continue. Next, we take the number 353,778,847 and divide it by 2:

353,778,847 ÷ 2 = 176,889,423.5

If the quotient is a whole number, then 2 and 176,889,423.5 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:

1 353,778,847
-1 -353,778,847

Now, we try dividing 353,778,847 by 3:

353,778,847 ÷ 3 = 117,926,282.3333

If the quotient is a whole number, then 3 and 117,926,282.3333 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:

1 353,778,847
-1 -353,778,847

Let's try dividing by 4:

353,778,847 ÷ 4 = 88,444,711.75

If the quotient is a whole number, then 4 and 88,444,711.75 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:

1 353,778,847
-1 353,778,847
Keep dividing by the next highest number until you cannot divide anymore.

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

1232112692714,8536,1876,23356,75957,18172,8991,305,4571,315,1631,676,67715,381,689353,778,847
-1-23-211-269-271-4,853-6,187-6,233-56,759-57,181-72,899-1,305,457-1,315,163-1,676,677-15,381,689-353,778,847

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