Q: What are the factor combinations of the number 150,658,171?

 A:
Positive:   1 x 15065817131 x 485994147 x 320549353 x 28426071457 x 1034031643 x 916971951 x 772212491 x 60481
Negative: -1 x -150658171-31 x -4859941-47 x -3205493-53 x -2842607-1457 x -103403-1643 x -91697-1951 x -77221-2491 x -60481


How do I find the factor combinations of the number 150,658,171?

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 150,658,171, 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.

1 150,658,171
-1 -150,658,171

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 150,658,171.

Example:
1 x 150,658,171 = 150,658,171
and
-1 x -150,658,171 = 150,658,171
Notice both answers equal 150,658,171

With that explanation out of the way, let's continue. Next, we take the number 150,658,171 and divide it by 2:

150,658,171 ÷ 2 = 75,329,085.5

If the quotient is a whole number, then 2 and 75,329,085.5 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:

1 150,658,171
-1 -150,658,171

Now, we try dividing 150,658,171 by 3:

150,658,171 ÷ 3 = 50,219,390.3333

If the quotient is a whole number, then 3 and 50,219,390.3333 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:

1 150,658,171
-1 -150,658,171

Let's try dividing by 4:

150,658,171 ÷ 4 = 37,664,542.75

If the quotient is a whole number, then 4 and 37,664,542.75 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:

1 150,658,171
-1 150,658,171
Keep dividing by the next highest number until you cannot divide anymore.

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

13147531,4571,6431,9512,49160,48177,22191,697103,4032,842,6073,205,4934,859,941150,658,171
-1-31-47-53-1,457-1,643-1,951-2,491-60,481-77,221-91,697-103,403-2,842,607-3,205,493-4,859,941-150,658,171

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