Q: What are the factor combinations of the number 364,132,296?

 A:
Positive:   1 x 3641322962 x 1820661483 x 1213774324 x 910330746 x 606887168 x 455165379 x 4045914411 x 3310293612 x 3034435818 x 2022957222 x 1655146824 x 1517217933 x 1103431236 x 1011478644 x 827573466 x 551715672 x 505739388 x 413786799 x 3678104132 x 2758578198 x 1839052264 x 1379289396 x 919526792 x 459763
Negative: -1 x -364132296-2 x -182066148-3 x -121377432-4 x -91033074-6 x -60688716-8 x -45516537-9 x -40459144-11 x -33102936-12 x -30344358-18 x -20229572-22 x -16551468-24 x -15172179-33 x -11034312-36 x -10114786-44 x -8275734-66 x -5517156-72 x -5057393-88 x -4137867-99 x -3678104-132 x -2758578-198 x -1839052-264 x -1379289-396 x -919526-792 x -459763


How do I find the factor combinations of the number 364,132,296?

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 364,132,296, 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.

1 364,132,296
-1 -364,132,296

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 364,132,296.

Example:
1 x 364,132,296 = 364,132,296
and
-1 x -364,132,296 = 364,132,296
Notice both answers equal 364,132,296

With that explanation out of the way, let's continue. Next, we take the number 364,132,296 and divide it by 2:

364,132,296 ÷ 2 = 182,066,148

If the quotient is a whole number, then 2 and 182,066,148 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 2 182,066,148 364,132,296
-1 -2 -182,066,148 -364,132,296

Now, we try dividing 364,132,296 by 3:

364,132,296 ÷ 3 = 121,377,432

If the quotient is a whole number, then 3 and 121,377,432 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 3 121,377,432 182,066,148 364,132,296
-1 -2 -3 -121,377,432 -182,066,148 -364,132,296

Let's try dividing by 4:

364,132,296 ÷ 4 = 91,033,074

If the quotient is a whole number, then 4 and 91,033,074 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 91,033,074 121,377,432 182,066,148 364,132,296
-1 -2 -3 -4 -91,033,074 -121,377,432 -182,066,148 364,132,296
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689111218222433364466728899132198264396792459,763919,5261,379,2891,839,0522,758,5783,678,1044,137,8675,057,3935,517,1568,275,73410,114,78611,034,31215,172,17916,551,46820,229,57230,344,35833,102,93640,459,14445,516,53760,688,71691,033,074121,377,432182,066,148364,132,296
-1-2-3-4-6-8-9-11-12-18-22-24-33-36-44-66-72-88-99-132-198-264-396-792-459,763-919,526-1,379,289-1,839,052-2,758,578-3,678,104-4,137,867-5,057,393-5,517,156-8,275,734-10,114,786-11,034,312-15,172,179-16,551,468-20,229,572-30,344,358-33,102,936-40,459,144-45,516,537-60,688,716-91,033,074-121,377,432-182,066,148-364,132,296

More Examples

Here are some more numbers to try:

364,132,294364,132,295364,132,297364,132,298
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