Q: What are the factor combinations of the number 147,642,715?

 A:
Positive:   1 x 1476427155 x 2952854311 x 1342206555 x 26844131181 x 1250152273 x 649555905 x 2500311365 x 12991
Negative: -1 x -147642715-5 x -29528543-11 x -13422065-55 x -2684413-1181 x -125015-2273 x -64955-5905 x -25003-11365 x -12991


How do I find the factor combinations of the number 147,642,715?

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 147,642,715, 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.

1 147,642,715
-1 -147,642,715

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 147,642,715.

Example:
1 x 147,642,715 = 147,642,715
and
-1 x -147,642,715 = 147,642,715
Notice both answers equal 147,642,715

With that explanation out of the way, let's continue. Next, we take the number 147,642,715 and divide it by 2:

147,642,715 ÷ 2 = 73,821,357.5

If the quotient is a whole number, then 2 and 73,821,357.5 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:

1 147,642,715
-1 -147,642,715

Now, we try dividing 147,642,715 by 3:

147,642,715 ÷ 3 = 49,214,238.3333

If the quotient is a whole number, then 3 and 49,214,238.3333 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:

1 147,642,715
-1 -147,642,715

Let's try dividing by 4:

147,642,715 ÷ 4 = 36,910,678.75

If the quotient is a whole number, then 4 and 36,910,678.75 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:

1 147,642,715
-1 147,642,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,1812,2735,90511,36512,99125,00364,955125,0152,684,41313,422,06529,528,543147,642,715
-1-5-11-55-1,181-2,273-5,905-11,365-12,991-25,003-64,955-125,015-2,684,413-13,422,065-29,528,543-147,642,715

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