Q: What are the factor combinations of the number 145,155,353?

 A:
Positive:   1 x 1451553537 x 2073647929 x 5005357149 x 974197203 x 7150511043 x 1391714321 x 335934799 x 30247
Negative: -1 x -145155353-7 x -20736479-29 x -5005357-149 x -974197-203 x -715051-1043 x -139171-4321 x -33593-4799 x -30247


How do I find the factor combinations of the number 145,155,353?

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 145,155,353, 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.

1 145,155,353
-1 -145,155,353

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 145,155,353.

Example:
1 x 145,155,353 = 145,155,353
and
-1 x -145,155,353 = 145,155,353
Notice both answers equal 145,155,353

With that explanation out of the way, let's continue. Next, we take the number 145,155,353 and divide it by 2:

145,155,353 ÷ 2 = 72,577,676.5

If the quotient is a whole number, then 2 and 72,577,676.5 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:

1 145,155,353
-1 -145,155,353

Now, we try dividing 145,155,353 by 3:

145,155,353 ÷ 3 = 48,385,117.6667

If the quotient is a whole number, then 3 and 48,385,117.6667 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:

1 145,155,353
-1 -145,155,353

Let's try dividing by 4:

145,155,353 ÷ 4 = 36,288,838.25

If the quotient is a whole number, then 4 and 36,288,838.25 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:

1 145,155,353
-1 145,155,353
Keep dividing by the next highest number until you cannot divide anymore.

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

17291492031,0434,3214,79930,24733,593139,171715,051974,1975,005,35720,736,479145,155,353
-1-7-29-149-203-1,043-4,321-4,799-30,247-33,593-139,171-715,051-974,197-5,005,357-20,736,479-145,155,353

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