Q: What are the factor combinations of the number 145,303,169?

 A:
Positive:   1 x 14530316911 x 1320937931 x 4687199341 x 426109601 x 241769709 x 2049416611 x 219797799 x 18631
Negative: -1 x -145303169-11 x -13209379-31 x -4687199-341 x -426109-601 x -241769-709 x -204941-6611 x -21979-7799 x -18631


How do I find the factor combinations of the number 145,303,169?

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 145,303,169, 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.

1 145,303,169
-1 -145,303,169

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 145,303,169.

Example:
1 x 145,303,169 = 145,303,169
and
-1 x -145,303,169 = 145,303,169
Notice both answers equal 145,303,169

With that explanation out of the way, let's continue. Next, we take the number 145,303,169 and divide it by 2:

145,303,169 ÷ 2 = 72,651,584.5

If the quotient is a whole number, then 2 and 72,651,584.5 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:

1 145,303,169
-1 -145,303,169

Now, we try dividing 145,303,169 by 3:

145,303,169 ÷ 3 = 48,434,389.6667

If the quotient is a whole number, then 3 and 48,434,389.6667 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:

1 145,303,169
-1 -145,303,169

Let's try dividing by 4:

145,303,169 ÷ 4 = 36,325,792.25

If the quotient is a whole number, then 4 and 36,325,792.25 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:

1 145,303,169
-1 145,303,169
Keep dividing by the next highest number until you cannot divide anymore.

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

111313416017096,6117,79918,63121,979204,941241,769426,1094,687,19913,209,379145,303,169
-1-11-31-341-601-709-6,611-7,799-18,631-21,979-204,941-241,769-426,109-4,687,199-13,209,379-145,303,169

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