Q: What are the factor combinations of the number 28,738,976?

 A:
Positive:   1 x 287389762 x 143694884 x 71847447 x 41055688 x 359237214 x 205278416 x 179618617 x 169052828 x 102639232 x 89809334 x 84526456 x 51319668 x 422632112 x 256598119 x 241504136 x 211316224 x 128299238 x 120752272 x 105658476 x 60376544 x 52829952 x 301881904 x 150943808 x 7547
Negative: -1 x -28738976-2 x -14369488-4 x -7184744-7 x -4105568-8 x -3592372-14 x -2052784-16 x -1796186-17 x -1690528-28 x -1026392-32 x -898093-34 x -845264-56 x -513196-68 x -422632-112 x -256598-119 x -241504-136 x -211316-224 x -128299-238 x -120752-272 x -105658-476 x -60376-544 x -52829-952 x -30188-1904 x -15094-3808 x -7547


How do I find the factor combinations of the number 28,738,976?

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 28,738,976, 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 28,738,976
-1 -28,738,976

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 28,738,976.

Example:
1 x 28,738,976 = 28,738,976
and
-1 x -28,738,976 = 28,738,976
Notice both answers equal 28,738,976

With that explanation out of the way, let's continue. Next, we take the number 28,738,976 and divide it by 2:

28,738,976 ÷ 2 = 14,369,488

If the quotient is a whole number, then 2 and 14,369,488 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 14,369,488 28,738,976
-1 -2 -14,369,488 -28,738,976

Now, we try dividing 28,738,976 by 3:

28,738,976 ÷ 3 = 9,579,658.6667

If the quotient is a whole number, then 3 and 9,579,658.6667 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 14,369,488 28,738,976
-1 -2 -14,369,488 -28,738,976

Let's try dividing by 4:

28,738,976 ÷ 4 = 7,184,744

If the quotient is a whole number, then 4 and 7,184,744 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 7,184,744 14,369,488 28,738,976
-1 -2 -4 -7,184,744 -14,369,488 28,738,976
Keep dividing by the next highest number until you cannot divide anymore.

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

1247814161728323456681121191362242382724765449521,9043,8087,54715,09430,18852,82960,376105,658120,752128,299211,316241,504256,598422,632513,196845,264898,0931,026,3921,690,5281,796,1862,052,7843,592,3724,105,5687,184,74414,369,48828,738,976
-1-2-4-7-8-14-16-17-28-32-34-56-68-112-119-136-224-238-272-476-544-952-1,904-3,808-7,547-15,094-30,188-52,829-60,376-105,658-120,752-128,299-211,316-241,504-256,598-422,632-513,196-845,264-898,093-1,026,392-1,690,528-1,796,186-2,052,784-3,592,372-4,105,568-7,184,744-14,369,488-28,738,976

More Examples

Here are some more numbers to try:

28,738,97428,738,97528,738,97728,738,978
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