Q: What are the factor combinations of the number 145,350,737?

 A:
Positive:   1 x 1453507377 x 20764391109 x 1333493197 x 737821763 x 190499967 x 1503111379 x 1054036769 x 21473
Negative: -1 x -145350737-7 x -20764391-109 x -1333493-197 x -737821-763 x -190499-967 x -150311-1379 x -105403-6769 x -21473


How do I find the factor combinations of the number 145,350,737?

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 145,350,737, 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.

1 145,350,737
-1 -145,350,737

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 145,350,737.

Example:
1 x 145,350,737 = 145,350,737
and
-1 x -145,350,737 = 145,350,737
Notice both answers equal 145,350,737

With that explanation out of the way, let's continue. Next, we take the number 145,350,737 and divide it by 2:

145,350,737 ÷ 2 = 72,675,368.5

If the quotient is a whole number, then 2 and 72,675,368.5 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:

1 145,350,737
-1 -145,350,737

Now, we try dividing 145,350,737 by 3:

145,350,737 ÷ 3 = 48,450,245.6667

If the quotient is a whole number, then 3 and 48,450,245.6667 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:

1 145,350,737
-1 -145,350,737

Let's try dividing by 4:

145,350,737 ÷ 4 = 36,337,684.25

If the quotient is a whole number, then 4 and 36,337,684.25 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:

1 145,350,737
-1 145,350,737
Keep dividing by the next highest number until you cannot divide anymore.

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

171091977639671,3796,76921,473105,403150,311190,499737,8211,333,49320,764,391145,350,737
-1-7-109-197-763-967-1,379-6,769-21,473-105,403-150,311-190,499-737,821-1,333,493-20,764,391-145,350,737

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