Q: What are the factor combinations of the number 148,337,635?

 A:
Positive:   1 x 1483376355 x 2966752731 x 478508589 x 1666715155 x 957017445 x 3333432759 x 5376510753 x 13795
Negative: -1 x -148337635-5 x -29667527-31 x -4785085-89 x -1666715-155 x -957017-445 x -333343-2759 x -53765-10753 x -13795


How do I find the factor combinations of the number 148,337,635?

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 148,337,635, 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.

1 148,337,635
-1 -148,337,635

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 148,337,635.

Example:
1 x 148,337,635 = 148,337,635
and
-1 x -148,337,635 = 148,337,635
Notice both answers equal 148,337,635

With that explanation out of the way, let's continue. Next, we take the number 148,337,635 and divide it by 2:

148,337,635 ÷ 2 = 74,168,817.5

If the quotient is a whole number, then 2 and 74,168,817.5 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:

1 148,337,635
-1 -148,337,635

Now, we try dividing 148,337,635 by 3:

148,337,635 ÷ 3 = 49,445,878.3333

If the quotient is a whole number, then 3 and 49,445,878.3333 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:

1 148,337,635
-1 -148,337,635

Let's try dividing by 4:

148,337,635 ÷ 4 = 37,084,408.75

If the quotient is a whole number, then 4 and 37,084,408.75 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:

1 148,337,635
-1 148,337,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1531891554452,75910,75313,79553,765333,343957,0171,666,7154,785,08529,667,527148,337,635
-1-5-31-89-155-445-2,759-10,753-13,795-53,765-333,343-957,017-1,666,715-4,785,085-29,667,527-148,337,635

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