Q: What are the factor combinations of the number 51,003,155?

 A:
Positive:   1 x 510031555 x 102006317 x 728616535 x 1457233107 x 476665535 x 95333749 x 680953745 x 13619
Negative: -1 x -51003155-5 x -10200631-7 x -7286165-35 x -1457233-107 x -476665-535 x -95333-749 x -68095-3745 x -13619


How do I find the factor combinations of the number 51,003,155?

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 51,003,155, 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 51,003,155
-1 -51,003,155

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 51,003,155.

Example:
1 x 51,003,155 = 51,003,155
and
-1 x -51,003,155 = 51,003,155
Notice both answers equal 51,003,155

With that explanation out of the way, let's continue. Next, we take the number 51,003,155 and divide it by 2:

51,003,155 ÷ 2 = 25,501,577.5

If the quotient is a whole number, then 2 and 25,501,577.5 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 51,003,155
-1 -51,003,155

Now, we try dividing 51,003,155 by 3:

51,003,155 ÷ 3 = 17,001,051.6667

If the quotient is a whole number, then 3 and 17,001,051.6667 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 51,003,155
-1 -51,003,155

Let's try dividing by 4:

51,003,155 ÷ 4 = 12,750,788.75

If the quotient is a whole number, then 4 and 12,750,788.75 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 51,003,155
-1 51,003,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,74513,61968,09595,333476,6651,457,2337,286,16510,200,63151,003,155
-1-5-7-35-107-535-749-3,745-13,619-68,095-95,333-476,665-1,457,233-7,286,165-10,200,631-51,003,155

More Examples

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