Q: What are the factor combinations of the number 7,172,615?

 A:
Positive:   1 x 71726155 x 143452343 x 16680573 x 98255215 x 33361365 x 19651457 x 156952285 x 3139
Negative: -1 x -7172615-5 x -1434523-43 x -166805-73 x -98255-215 x -33361-365 x -19651-457 x -15695-2285 x -3139


How do I find the factor combinations of the number 7,172,615?

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 7,172,615, 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 7,172,615
-1 -7,172,615

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 7,172,615.

Example:
1 x 7,172,615 = 7,172,615
and
-1 x -7,172,615 = 7,172,615
Notice both answers equal 7,172,615

With that explanation out of the way, let's continue. Next, we take the number 7,172,615 and divide it by 2:

7,172,615 ÷ 2 = 3,586,307.5

If the quotient is a whole number, then 2 and 3,586,307.5 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 7,172,615
-1 -7,172,615

Now, we try dividing 7,172,615 by 3:

7,172,615 ÷ 3 = 2,390,871.6667

If the quotient is a whole number, then 3 and 2,390,871.6667 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 7,172,615
-1 -7,172,615

Let's try dividing by 4:

7,172,615 ÷ 4 = 1,793,153.75

If the quotient is a whole number, then 4 and 1,793,153.75 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 7,172,615
-1 7,172,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1543732153654572,2853,13915,69519,65133,36198,255166,8051,434,5237,172,615
-1-5-43-73-215-365-457-2,285-3,139-15,695-19,651-33,361-98,255-166,805-1,434,523-7,172,615

More Examples

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