Q: What are the factor combinations of the number 760,134,180?

 A:
Positive:   1 x 7601341802 x 3800670903 x 2533780604 x 1900335455 x 1520268366 x 12668903010 x 7601341812 x 6334451513 x 5847186015 x 5067561220 x 3800670926 x 2923593030 x 2533780639 x 1949062052 x 1461796560 x 1266890365 x 1169437278 x 9745310130 x 5847186156 x 4872655195 x 3898124260 x 2923593390 x 1949062780 x 974531
Negative: -1 x -760134180-2 x -380067090-3 x -253378060-4 x -190033545-5 x -152026836-6 x -126689030-10 x -76013418-12 x -63344515-13 x -58471860-15 x -50675612-20 x -38006709-26 x -29235930-30 x -25337806-39 x -19490620-52 x -14617965-60 x -12668903-65 x -11694372-78 x -9745310-130 x -5847186-156 x -4872655-195 x -3898124-260 x -2923593-390 x -1949062-780 x -974531


How do I find the factor combinations of the number 760,134,180?

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 760,134,180, 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.

1 760,134,180
-1 -760,134,180

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 760,134,180.

Example:
1 x 760,134,180 = 760,134,180
and
-1 x -760,134,180 = 760,134,180
Notice both answers equal 760,134,180

With that explanation out of the way, let's continue. Next, we take the number 760,134,180 and divide it by 2:

760,134,180 ÷ 2 = 380,067,090

If the quotient is a whole number, then 2 and 380,067,090 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 2 380,067,090 760,134,180
-1 -2 -380,067,090 -760,134,180

Now, we try dividing 760,134,180 by 3:

760,134,180 ÷ 3 = 253,378,060

If the quotient is a whole number, then 3 and 253,378,060 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 3 253,378,060 380,067,090 760,134,180
-1 -2 -3 -253,378,060 -380,067,090 -760,134,180

Let's try dividing by 4:

760,134,180 ÷ 4 = 190,033,545

If the quotient is a whole number, then 4 and 190,033,545 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 4 190,033,545 253,378,060 380,067,090 760,134,180
-1 -2 -3 -4 -190,033,545 -253,378,060 -380,067,090 760,134,180
Keep dividing by the next highest number until you cannot divide anymore.

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

123456101213152026303952606578130156195260390780974,5311,949,0622,923,5933,898,1244,872,6555,847,1869,745,31011,694,37212,668,90314,617,96519,490,62025,337,80629,235,93038,006,70950,675,61258,471,86063,344,51576,013,418126,689,030152,026,836190,033,545253,378,060380,067,090760,134,180
-1-2-3-4-5-6-10-12-13-15-20-26-30-39-52-60-65-78-130-156-195-260-390-780-974,531-1,949,062-2,923,593-3,898,124-4,872,655-5,847,186-9,745,310-11,694,372-12,668,903-14,617,965-19,490,620-25,337,806-29,235,930-38,006,709-50,675,612-58,471,860-63,344,515-76,013,418-126,689,030-152,026,836-190,033,545-253,378,060-380,067,090-760,134,180

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