Q: What are the factor combinations of the number 356,216,047?

 A:
Positive:   1 x 35621604711 x 3238327719 x 18748213193 x 1845679209 x 17043832123 x 1677893667 x 971418831 x 40337
Negative: -1 x -356216047-11 x -32383277-19 x -18748213-193 x -1845679-209 x -1704383-2123 x -167789-3667 x -97141-8831 x -40337


How do I find the factor combinations of the number 356,216,047?

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 356,216,047, 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.

1 356,216,047
-1 -356,216,047

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 356,216,047.

Example:
1 x 356,216,047 = 356,216,047
and
-1 x -356,216,047 = 356,216,047
Notice both answers equal 356,216,047

With that explanation out of the way, let's continue. Next, we take the number 356,216,047 and divide it by 2:

356,216,047 ÷ 2 = 178,108,023.5

If the quotient is a whole number, then 2 and 178,108,023.5 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:

1 356,216,047
-1 -356,216,047

Now, we try dividing 356,216,047 by 3:

356,216,047 ÷ 3 = 118,738,682.3333

If the quotient is a whole number, then 3 and 118,738,682.3333 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:

1 356,216,047
-1 -356,216,047

Let's try dividing by 4:

356,216,047 ÷ 4 = 89,054,011.75

If the quotient is a whole number, then 4 and 89,054,011.75 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:

1 356,216,047
-1 356,216,047
Keep dividing by the next highest number until you cannot divide anymore.

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

111191932092,1233,6678,83140,33797,141167,7891,704,3831,845,67918,748,21332,383,277356,216,047
-1-11-19-193-209-2,123-3,667-8,831-40,337-97,141-167,789-1,704,383-1,845,679-18,748,213-32,383,277-356,216,047

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