Q: What are the factor combinations of the number 154,601,009?

 A:
Positive:   1 x 15460100917 x 909417723 x 672178371 x 2177479391 x 3953991207 x 1280871633 x 946735569 x 27761
Negative: -1 x -154601009-17 x -9094177-23 x -6721783-71 x -2177479-391 x -395399-1207 x -128087-1633 x -94673-5569 x -27761


How do I find the factor combinations of the number 154,601,009?

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 154,601,009, 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.

1 154,601,009
-1 -154,601,009

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 154,601,009.

Example:
1 x 154,601,009 = 154,601,009
and
-1 x -154,601,009 = 154,601,009
Notice both answers equal 154,601,009

With that explanation out of the way, let's continue. Next, we take the number 154,601,009 and divide it by 2:

154,601,009 ÷ 2 = 77,300,504.5

If the quotient is a whole number, then 2 and 77,300,504.5 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:

1 154,601,009
-1 -154,601,009

Now, we try dividing 154,601,009 by 3:

154,601,009 ÷ 3 = 51,533,669.6667

If the quotient is a whole number, then 3 and 51,533,669.6667 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:

1 154,601,009
-1 -154,601,009

Let's try dividing by 4:

154,601,009 ÷ 4 = 38,650,252.25

If the quotient is a whole number, then 4 and 38,650,252.25 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:

1 154,601,009
-1 154,601,009
Keep dividing by the next highest number until you cannot divide anymore.

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

11723713911,2071,6335,56927,76194,673128,087395,3992,177,4796,721,7839,094,177154,601,009
-1-17-23-71-391-1,207-1,633-5,569-27,761-94,673-128,087-395,399-2,177,479-6,721,783-9,094,177-154,601,009

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