Q: What are the factor combinations of the number 145,314,337?

 A:
Positive:   1 x 1453143377 x 2075919119 x 7648123133 x 1092589163 x 8914991141 x 1273573097 x 469216703 x 21679
Negative: -1 x -145314337-7 x -20759191-19 x -7648123-133 x -1092589-163 x -891499-1141 x -127357-3097 x -46921-6703 x -21679


How do I find the factor combinations of the number 145,314,337?

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 145,314,337, 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.

1 145,314,337
-1 -145,314,337

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 145,314,337.

Example:
1 x 145,314,337 = 145,314,337
and
-1 x -145,314,337 = 145,314,337
Notice both answers equal 145,314,337

With that explanation out of the way, let's continue. Next, we take the number 145,314,337 and divide it by 2:

145,314,337 ÷ 2 = 72,657,168.5

If the quotient is a whole number, then 2 and 72,657,168.5 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:

1 145,314,337
-1 -145,314,337

Now, we try dividing 145,314,337 by 3:

145,314,337 ÷ 3 = 48,438,112.3333

If the quotient is a whole number, then 3 and 48,438,112.3333 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:

1 145,314,337
-1 -145,314,337

Let's try dividing by 4:

145,314,337 ÷ 4 = 36,328,584.25

If the quotient is a whole number, then 4 and 36,328,584.25 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:

1 145,314,337
-1 145,314,337
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331631,1413,0976,70321,67946,921127,357891,4991,092,5897,648,12320,759,191145,314,337
-1-7-19-133-163-1,141-3,097-6,703-21,679-46,921-127,357-891,499-1,092,589-7,648,123-20,759,191-145,314,337

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