Q: What are the factor combinations of the number 73,370,045?

 A:
Positive:   1 x 733700455 x 146740097 x 1048143517 x 431588535 x 209628785 x 863177119 x 616555595 x 123311
Negative: -1 x -73370045-5 x -14674009-7 x -10481435-17 x -4315885-35 x -2096287-85 x -863177-119 x -616555-595 x -123311


How do I find the factor combinations of the number 73,370,045?

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 73,370,045, 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 73,370,045
-1 -73,370,045

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 73,370,045.

Example:
1 x 73,370,045 = 73,370,045
and
-1 x -73,370,045 = 73,370,045
Notice both answers equal 73,370,045

With that explanation out of the way, let's continue. Next, we take the number 73,370,045 and divide it by 2:

73,370,045 ÷ 2 = 36,685,022.5

If the quotient is a whole number, then 2 and 36,685,022.5 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 73,370,045
-1 -73,370,045

Now, we try dividing 73,370,045 by 3:

73,370,045 ÷ 3 = 24,456,681.6667

If the quotient is a whole number, then 3 and 24,456,681.6667 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 73,370,045
-1 -73,370,045

Let's try dividing by 4:

73,370,045 ÷ 4 = 18,342,511.25

If the quotient is a whole number, then 4 and 18,342,511.25 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 73,370,045
-1 73,370,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595123,311616,555863,1772,096,2874,315,88510,481,43514,674,00973,370,045
-1-5-7-17-35-85-119-595-123,311-616,555-863,177-2,096,287-4,315,885-10,481,435-14,674,009-73,370,045

More Examples

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