Q: What are the factor combinations of the number 148,136,765?

 A:
Positive:   1 x 1481367655 x 296273537 x 2116239535 x 4232479131 x 1130815655 x 226163917 x 1615454585 x 32309
Negative: -1 x -148136765-5 x -29627353-7 x -21162395-35 x -4232479-131 x -1130815-655 x -226163-917 x -161545-4585 x -32309


How do I find the factor combinations of the number 148,136,765?

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 148,136,765, 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.

1 148,136,765
-1 -148,136,765

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 148,136,765.

Example:
1 x 148,136,765 = 148,136,765
and
-1 x -148,136,765 = 148,136,765
Notice both answers equal 148,136,765

With that explanation out of the way, let's continue. Next, we take the number 148,136,765 and divide it by 2:

148,136,765 ÷ 2 = 74,068,382.5

If the quotient is a whole number, then 2 and 74,068,382.5 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:

1 148,136,765
-1 -148,136,765

Now, we try dividing 148,136,765 by 3:

148,136,765 ÷ 3 = 49,378,921.6667

If the quotient is a whole number, then 3 and 49,378,921.6667 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:

1 148,136,765
-1 -148,136,765

Let's try dividing by 4:

148,136,765 ÷ 4 = 37,034,191.25

If the quotient is a whole number, then 4 and 37,034,191.25 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:

1 148,136,765
-1 148,136,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157351316559174,58532,309161,545226,1631,130,8154,232,47921,162,39529,627,353148,136,765
-1-5-7-35-131-655-917-4,585-32,309-161,545-226,163-1,130,815-4,232,479-21,162,395-29,627,353-148,136,765

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