Q: What are the factor combinations of the number 145,743,775?

 A:
Positive:   1 x 1457437755 x 2914875519 x 767072525 x 582975195 x 1534145475 x 306829
Negative: -1 x -145743775-5 x -29148755-19 x -7670725-25 x -5829751-95 x -1534145-475 x -306829


How do I find the factor combinations of the number 145,743,775?

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 145,743,775, 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.

1 145,743,775
-1 -145,743,775

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 145,743,775.

Example:
1 x 145,743,775 = 145,743,775
and
-1 x -145,743,775 = 145,743,775
Notice both answers equal 145,743,775

With that explanation out of the way, let's continue. Next, we take the number 145,743,775 and divide it by 2:

145,743,775 ÷ 2 = 72,871,887.5

If the quotient is a whole number, then 2 and 72,871,887.5 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:

1 145,743,775
-1 -145,743,775

Now, we try dividing 145,743,775 by 3:

145,743,775 ÷ 3 = 48,581,258.3333

If the quotient is a whole number, then 3 and 48,581,258.3333 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:

1 145,743,775
-1 -145,743,775

Let's try dividing by 4:

145,743,775 ÷ 4 = 36,435,943.75

If the quotient is a whole number, then 4 and 36,435,943.75 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:

1 145,743,775
-1 145,743,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15192595475306,8291,534,1455,829,7517,670,72529,148,755145,743,775
-1-5-19-25-95-475-306,829-1,534,145-5,829,751-7,670,725-29,148,755-145,743,775

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