Q: What are the factor combinations of the number 145,140,331?

 A:
Positive:   1 x 1451403317 x 2073433329 x 5004839203 x 714977467 x 3107931531 x 948013269 x 4439910717 x 13543
Negative: -1 x -145140331-7 x -20734333-29 x -5004839-203 x -714977-467 x -310793-1531 x -94801-3269 x -44399-10717 x -13543


How do I find the factor combinations of the number 145,140,331?

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 145,140,331, 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.

1 145,140,331
-1 -145,140,331

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 145,140,331.

Example:
1 x 145,140,331 = 145,140,331
and
-1 x -145,140,331 = 145,140,331
Notice both answers equal 145,140,331

With that explanation out of the way, let's continue. Next, we take the number 145,140,331 and divide it by 2:

145,140,331 ÷ 2 = 72,570,165.5

If the quotient is a whole number, then 2 and 72,570,165.5 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:

1 145,140,331
-1 -145,140,331

Now, we try dividing 145,140,331 by 3:

145,140,331 ÷ 3 = 48,380,110.3333

If the quotient is a whole number, then 3 and 48,380,110.3333 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:

1 145,140,331
-1 -145,140,331

Let's try dividing by 4:

145,140,331 ÷ 4 = 36,285,082.75

If the quotient is a whole number, then 4 and 36,285,082.75 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:

1 145,140,331
-1 145,140,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17292034671,5313,26910,71713,54344,39994,801310,793714,9775,004,83920,734,333145,140,331
-1-7-29-203-467-1,531-3,269-10,717-13,543-44,399-94,801-310,793-714,977-5,004,839-20,734,333-145,140,331

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