Q: What are the factor combinations of the number 5,350,615?

 A:
Positive:   1 x 53506155 x 107012353 x 10095561 x 87715265 x 20191305 x 17543331 x 161651655 x 3233
Negative: -1 x -5350615-5 x -1070123-53 x -100955-61 x -87715-265 x -20191-305 x -17543-331 x -16165-1655 x -3233


How do I find the factor combinations of the number 5,350,615?

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 5,350,615, 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 5,350,615
-1 -5,350,615

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 5,350,615.

Example:
1 x 5,350,615 = 5,350,615
and
-1 x -5,350,615 = 5,350,615
Notice both answers equal 5,350,615

With that explanation out of the way, let's continue. Next, we take the number 5,350,615 and divide it by 2:

5,350,615 ÷ 2 = 2,675,307.5

If the quotient is a whole number, then 2 and 2,675,307.5 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 5,350,615
-1 -5,350,615

Now, we try dividing 5,350,615 by 3:

5,350,615 ÷ 3 = 1,783,538.3333

If the quotient is a whole number, then 3 and 1,783,538.3333 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 5,350,615
-1 -5,350,615

Let's try dividing by 4:

5,350,615 ÷ 4 = 1,337,653.75

If the quotient is a whole number, then 4 and 1,337,653.75 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 5,350,615
-1 5,350,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1553612653053311,6553,23316,16517,54320,19187,715100,9551,070,1235,350,615
-1-5-53-61-265-305-331-1,655-3,233-16,165-17,543-20,191-87,715-100,955-1,070,123-5,350,615

More Examples

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