Q: What are the factor combinations of the number 15,702,155?

 A:
Positive:   1 x 157021555 x 31404317 x 224316535 x 448633
Negative: -1 x -15702155-5 x -3140431-7 x -2243165-35 x -448633


How do I find the factor combinations of the number 15,702,155?

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 15,702,155, 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 15,702,155
-1 -15,702,155

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 15,702,155.

Example:
1 x 15,702,155 = 15,702,155
and
-1 x -15,702,155 = 15,702,155
Notice both answers equal 15,702,155

With that explanation out of the way, let's continue. Next, we take the number 15,702,155 and divide it by 2:

15,702,155 ÷ 2 = 7,851,077.5

If the quotient is a whole number, then 2 and 7,851,077.5 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 15,702,155
-1 -15,702,155

Now, we try dividing 15,702,155 by 3:

15,702,155 ÷ 3 = 5,234,051.6667

If the quotient is a whole number, then 3 and 5,234,051.6667 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 15,702,155
-1 -15,702,155

Let's try dividing by 4:

15,702,155 ÷ 4 = 3,925,538.75

If the quotient is a whole number, then 4 and 3,925,538.75 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 15,702,155
-1 15,702,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15735448,6332,243,1653,140,43115,702,155
-1-5-7-35-448,633-2,243,165-3,140,431-15,702,155

More Examples

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