Q: What are the factor combinations of the number 358,275,425?

 A:
Positive:   1 x 3582754255 x 7165508517 x 2107502525 x 1433101729 x 1235432541 x 873842585 x 4215005145 x 2470865205 x 1747685425 x 843001493 x 726725697 x 514025709 x 505325725 x 4941731025 x 3495371189 x 3013252465 x 1453453485 x 1028053545 x 1010655945 x 6026512053 x 2972512325 x 2906917425 x 2056117725 x 20213
Negative: -1 x -358275425-5 x -71655085-17 x -21075025-25 x -14331017-29 x -12354325-41 x -8738425-85 x -4215005-145 x -2470865-205 x -1747685-425 x -843001-493 x -726725-697 x -514025-709 x -505325-725 x -494173-1025 x -349537-1189 x -301325-2465 x -145345-3485 x -102805-3545 x -101065-5945 x -60265-12053 x -29725-12325 x -29069-17425 x -20561-17725 x -20213


How do I find the factor combinations of the number 358,275,425?

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 358,275,425, 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.

1 358,275,425
-1 -358,275,425

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 358,275,425.

Example:
1 x 358,275,425 = 358,275,425
and
-1 x -358,275,425 = 358,275,425
Notice both answers equal 358,275,425

With that explanation out of the way, let's continue. Next, we take the number 358,275,425 and divide it by 2:

358,275,425 ÷ 2 = 179,137,712.5

If the quotient is a whole number, then 2 and 179,137,712.5 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:

1 358,275,425
-1 -358,275,425

Now, we try dividing 358,275,425 by 3:

358,275,425 ÷ 3 = 119,425,141.6667

If the quotient is a whole number, then 3 and 119,425,141.6667 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:

1 358,275,425
-1 -358,275,425

Let's try dividing by 4:

358,275,425 ÷ 4 = 89,568,856.25

If the quotient is a whole number, then 4 and 89,568,856.25 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:

1 358,275,425
-1 358,275,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1517252941851452054254936977097251,0251,1892,4653,4853,5455,94512,05312,32517,42517,72520,21320,56129,06929,72560,265101,065102,805145,345301,325349,537494,173505,325514,025726,725843,0011,747,6852,470,8654,215,0058,738,42512,354,32514,331,01721,075,02571,655,085358,275,425
-1-5-17-25-29-41-85-145-205-425-493-697-709-725-1,025-1,189-2,465-3,485-3,545-5,945-12,053-12,325-17,425-17,725-20,213-20,561-29,069-29,725-60,265-101,065-102,805-145,345-301,325-349,537-494,173-505,325-514,025-726,725-843,001-1,747,685-2,470,865-4,215,005-8,738,425-12,354,325-14,331,017-21,075,025-71,655,085-358,275,425

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