Q: What are the factor combinations of the number 74,697,980?

 A:
Positive:   1 x 746979802 x 373489904 x 186744955 x 149395967 x 1067114010 x 746979814 x 533557020 x 373489928 x 266778535 x 213422870 x 106711473 x 1023260140 x 533557146 x 511630292 x 255815365 x 204652511 x 146180730 x 1023261022 x 730901460 x 511632044 x 365452555 x 292365110 x 146187309 x 10220
Negative: -1 x -74697980-2 x -37348990-4 x -18674495-5 x -14939596-7 x -10671140-10 x -7469798-14 x -5335570-20 x -3734899-28 x -2667785-35 x -2134228-70 x -1067114-73 x -1023260-140 x -533557-146 x -511630-292 x -255815-365 x -204652-511 x -146180-730 x -102326-1022 x -73090-1460 x -51163-2044 x -36545-2555 x -29236-5110 x -14618-7309 x -10220


How do I find the factor combinations of the number 74,697,980?

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 74,697,980, 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 74,697,980
-1 -74,697,980

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 74,697,980.

Example:
1 x 74,697,980 = 74,697,980
and
-1 x -74,697,980 = 74,697,980
Notice both answers equal 74,697,980

With that explanation out of the way, let's continue. Next, we take the number 74,697,980 and divide it by 2:

74,697,980 ÷ 2 = 37,348,990

If the quotient is a whole number, then 2 and 37,348,990 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 37,348,990 74,697,980
-1 -2 -37,348,990 -74,697,980

Now, we try dividing 74,697,980 by 3:

74,697,980 ÷ 3 = 24,899,326.6667

If the quotient is a whole number, then 3 and 24,899,326.6667 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 2 37,348,990 74,697,980
-1 -2 -37,348,990 -74,697,980

Let's try dividing by 4:

74,697,980 ÷ 4 = 18,674,495

If the quotient is a whole number, then 4 and 18,674,495 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 4 18,674,495 37,348,990 74,697,980
-1 -2 -4 -18,674,495 -37,348,990 74,697,980
Keep dividing by the next highest number until you cannot divide anymore.

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

12457101420283570731401462923655117301,0221,4602,0442,5555,1107,30910,22014,61829,23636,54551,16373,090102,326146,180204,652255,815511,630533,5571,023,2601,067,1142,134,2282,667,7853,734,8995,335,5707,469,79810,671,14014,939,59618,674,49537,348,99074,697,980
-1-2-4-5-7-10-14-20-28-35-70-73-140-146-292-365-511-730-1,022-1,460-2,044-2,555-5,110-7,309-10,220-14,618-29,236-36,545-51,163-73,090-102,326-146,180-204,652-255,815-511,630-533,557-1,023,260-1,067,114-2,134,228-2,667,785-3,734,899-5,335,570-7,469,798-10,671,140-14,939,596-18,674,495-37,348,990-74,697,980

More Examples

Here are some more numbers to try:

74,697,97874,697,97974,697,98174,697,982
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