Q: What are the factor combinations of the number 742,034,016?

 A:
Positive:   1 x 7420340162 x 3710170083 x 2473446724 x 1855085046 x 1236723368 x 927542529 x 8244822412 x 6183616816 x 4637712618 x 4122411224 x 3091808432 x 2318856336 x 2061205648 x 1545904272 x 1030602896 x 7729521144 x 5153014288 x 2576507
Negative: -1 x -742034016-2 x -371017008-3 x -247344672-4 x -185508504-6 x -123672336-8 x -92754252-9 x -82448224-12 x -61836168-16 x -46377126-18 x -41224112-24 x -30918084-32 x -23188563-36 x -20612056-48 x -15459042-72 x -10306028-96 x -7729521-144 x -5153014-288 x -2576507


How do I find the factor combinations of the number 742,034,016?

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 742,034,016, 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.

1 742,034,016
-1 -742,034,016

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 742,034,016.

Example:
1 x 742,034,016 = 742,034,016
and
-1 x -742,034,016 = 742,034,016
Notice both answers equal 742,034,016

With that explanation out of the way, let's continue. Next, we take the number 742,034,016 and divide it by 2:

742,034,016 ÷ 2 = 371,017,008

If the quotient is a whole number, then 2 and 371,017,008 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 371,017,008 742,034,016
-1 -2 -371,017,008 -742,034,016

Now, we try dividing 742,034,016 by 3:

742,034,016 ÷ 3 = 247,344,672

If the quotient is a whole number, then 3 and 247,344,672 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 247,344,672 371,017,008 742,034,016
-1 -2 -3 -247,344,672 -371,017,008 -742,034,016

Let's try dividing by 4:

742,034,016 ÷ 4 = 185,508,504

If the quotient is a whole number, then 4 and 185,508,504 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 185,508,504 247,344,672 371,017,008 742,034,016
-1 -2 -3 -4 -185,508,504 -247,344,672 -371,017,008 742,034,016
Keep dividing by the next highest number until you cannot divide anymore.

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

12346891216182432364872961442882,576,5075,153,0147,729,52110,306,02815,459,04220,612,05623,188,56330,918,08441,224,11246,377,12661,836,16882,448,22492,754,252123,672,336185,508,504247,344,672371,017,008742,034,016
-1-2-3-4-6-8-9-12-16-18-24-32-36-48-72-96-144-288-2,576,507-5,153,014-7,729,521-10,306,028-15,459,042-20,612,056-23,188,563-30,918,084-41,224,112-46,377,126-61,836,168-82,448,224-92,754,252-123,672,336-185,508,504-247,344,672-371,017,008-742,034,016

More Examples

Here are some more numbers to try:

742,034,014742,034,015742,034,017742,034,018
Try the factor calculator

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