Q: What are the factor combinations of the number 355,123,615?

 A:
Positive:   1 x 3551236155 x 710247237 x 5073194511 x 3228396535 x 1014638955 x 645679377 x 4611995385 x 922399641 x 5540151439 x 2467853205 x 1108034487 x 791457051 x 503657195 x 4935710073 x 3525515829 x 22435
Negative: -1 x -355123615-5 x -71024723-7 x -50731945-11 x -32283965-35 x -10146389-55 x -6456793-77 x -4611995-385 x -922399-641 x -554015-1439 x -246785-3205 x -110803-4487 x -79145-7051 x -50365-7195 x -49357-10073 x -35255-15829 x -22435


How do I find the factor combinations of the number 355,123,615?

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 355,123,615, 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.

1 355,123,615
-1 -355,123,615

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 355,123,615.

Example:
1 x 355,123,615 = 355,123,615
and
-1 x -355,123,615 = 355,123,615
Notice both answers equal 355,123,615

With that explanation out of the way, let's continue. Next, we take the number 355,123,615 and divide it by 2:

355,123,615 ÷ 2 = 177,561,807.5

If the quotient is a whole number, then 2 and 177,561,807.5 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:

1 355,123,615
-1 -355,123,615

Now, we try dividing 355,123,615 by 3:

355,123,615 ÷ 3 = 118,374,538.3333

If the quotient is a whole number, then 3 and 118,374,538.3333 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:

1 355,123,615
-1 -355,123,615

Let's try dividing by 4:

355,123,615 ÷ 4 = 88,780,903.75

If the quotient is a whole number, then 4 and 88,780,903.75 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:

1 355,123,615
-1 355,123,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773856411,4393,2054,4877,0517,19510,07315,82922,43535,25549,35750,36579,145110,803246,785554,015922,3994,611,9956,456,79310,146,38932,283,96550,731,94571,024,723355,123,615
-1-5-7-11-35-55-77-385-641-1,439-3,205-4,487-7,051-7,195-10,073-15,829-22,435-35,255-49,357-50,365-79,145-110,803-246,785-554,015-922,399-4,611,995-6,456,793-10,146,389-32,283,965-50,731,945-71,024,723-355,123,615

More Examples

Here are some more numbers to try:

355,123,613355,123,614355,123,616355,123,617
Try the factor calculator

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