Q: What are the factor combinations of the number 153,542,501?

 A:
Positive:   1 x 1535425017 x 2193464329 x 5294569193 x 795557203 x 7563671351 x 1136513919 x 391795597 x 27433
Negative: -1 x -153542501-7 x -21934643-29 x -5294569-193 x -795557-203 x -756367-1351 x -113651-3919 x -39179-5597 x -27433


How do I find the factor combinations of the number 153,542,501?

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 153,542,501, 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.

1 153,542,501
-1 -153,542,501

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 153,542,501.

Example:
1 x 153,542,501 = 153,542,501
and
-1 x -153,542,501 = 153,542,501
Notice both answers equal 153,542,501

With that explanation out of the way, let's continue. Next, we take the number 153,542,501 and divide it by 2:

153,542,501 ÷ 2 = 76,771,250.5

If the quotient is a whole number, then 2 and 76,771,250.5 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:

1 153,542,501
-1 -153,542,501

Now, we try dividing 153,542,501 by 3:

153,542,501 ÷ 3 = 51,180,833.6667

If the quotient is a whole number, then 3 and 51,180,833.6667 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:

1 153,542,501
-1 -153,542,501

Let's try dividing by 4:

153,542,501 ÷ 4 = 38,385,625.25

If the quotient is a whole number, then 4 and 38,385,625.25 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:

1 153,542,501
-1 153,542,501
Keep dividing by the next highest number until you cannot divide anymore.

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

17291932031,3513,9195,59727,43339,179113,651756,367795,5575,294,56921,934,643153,542,501
-1-7-29-193-203-1,351-3,919-5,597-27,433-39,179-113,651-756,367-795,557-5,294,569-21,934,643-153,542,501

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