Q: What are the factor combinations of the number 142,151,513?

 A:
Positive:   1 x 1421515137 x 2030735973 x 1947281149 x 954037511 x 2781831043 x 1362911867 x 7613910877 x 13069
Negative: -1 x -142151513-7 x -20307359-73 x -1947281-149 x -954037-511 x -278183-1043 x -136291-1867 x -76139-10877 x -13069


How do I find the factor combinations of the number 142,151,513?

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 142,151,513, 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.

1 142,151,513
-1 -142,151,513

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 142,151,513.

Example:
1 x 142,151,513 = 142,151,513
and
-1 x -142,151,513 = 142,151,513
Notice both answers equal 142,151,513

With that explanation out of the way, let's continue. Next, we take the number 142,151,513 and divide it by 2:

142,151,513 ÷ 2 = 71,075,756.5

If the quotient is a whole number, then 2 and 71,075,756.5 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:

1 142,151,513
-1 -142,151,513

Now, we try dividing 142,151,513 by 3:

142,151,513 ÷ 3 = 47,383,837.6667

If the quotient is a whole number, then 3 and 47,383,837.6667 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:

1 142,151,513
-1 -142,151,513

Let's try dividing by 4:

142,151,513 ÷ 4 = 35,537,878.25

If the quotient is a whole number, then 4 and 35,537,878.25 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:

1 142,151,513
-1 142,151,513
Keep dividing by the next highest number until you cannot divide anymore.

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

17731495111,0431,86710,87713,06976,139136,291278,183954,0371,947,28120,307,359142,151,513
-1-7-73-149-511-1,043-1,867-10,877-13,069-76,139-136,291-278,183-954,037-1,947,281-20,307,359-142,151,513

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