Q: What are the factor combinations of the number 901,740?

 A:
Positive:   1 x 9017402 x 4508703 x 3005804 x 2254355 x 1803486 x 1502907 x 12882010 x 9017412 x 7514514 x 6441015 x 6011619 x 4746020 x 4508721 x 4294028 x 3220530 x 3005835 x 2576438 x 2373042 x 2147057 x 1582060 x 1502970 x 1288276 x 1186584 x 1073595 x 9492105 x 8588113 x 7980114 x 7910133 x 6780140 x 6441190 x 4746210 x 4294226 x 3990228 x 3955266 x 3390285 x 3164339 x 2660380 x 2373399 x 2260420 x 2147452 x 1995532 x 1695565 x 1596570 x 1582665 x 1356678 x 1330791 x 1140798 x 1130
Negative: -1 x -901740-2 x -450870-3 x -300580-4 x -225435-5 x -180348-6 x -150290-7 x -128820-10 x -90174-12 x -75145-14 x -64410-15 x -60116-19 x -47460-20 x -45087-21 x -42940-28 x -32205-30 x -30058-35 x -25764-38 x -23730-42 x -21470-57 x -15820-60 x -15029-70 x -12882-76 x -11865-84 x -10735-95 x -9492-105 x -8588-113 x -7980-114 x -7910-133 x -6780-140 x -6441-190 x -4746-210 x -4294-226 x -3990-228 x -3955-266 x -3390-285 x -3164-339 x -2660-380 x -2373-399 x -2260-420 x -2147-452 x -1995-532 x -1695-565 x -1596-570 x -1582-665 x -1356-678 x -1330-791 x -1140-798 x -1130


How do I find the factor combinations of the number 901,740?

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 901,740, 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.

1 901,740
-1 -901,740

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 901,740.

Example:
1 x 901,740 = 901,740
and
-1 x -901,740 = 901,740
Notice both answers equal 901,740

With that explanation out of the way, let's continue. Next, we take the number 901,740 and divide it by 2:

901,740 ÷ 2 = 450,870

If the quotient is a whole number, then 2 and 450,870 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 2 450,870 901,740
-1 -2 -450,870 -901,740

Now, we try dividing 901,740 by 3:

901,740 ÷ 3 = 300,580

If the quotient is a whole number, then 3 and 300,580 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 3 300,580 450,870 901,740
-1 -2 -3 -300,580 -450,870 -901,740

Let's try dividing by 4:

901,740 ÷ 4 = 225,435

If the quotient is a whole number, then 4 and 225,435 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 4 225,435 300,580 450,870 901,740
-1 -2 -3 -4 -225,435 -300,580 -450,870 901,740
Keep dividing by the next highest number until you cannot divide anymore.

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

12345671012141519202128303538425760707684951051131141331401902102262282662853393803994204525325655706656787917981,1301,1401,3301,3561,5821,5961,6951,9952,1472,2602,3732,6603,1643,3903,9553,9904,2944,7466,4416,7807,9107,9808,5889,49210,73511,86512,88215,02915,82021,47023,73025,76430,05832,20542,94045,08747,46060,11664,41075,14590,174128,820150,290180,348225,435300,580450,870901,740
-1-2-3-4-5-6-7-10-12-14-15-19-20-21-28-30-35-38-42-57-60-70-76-84-95-105-113-114-133-140-190-210-226-228-266-285-339-380-399-420-452-532-565-570-665-678-791-798-1,130-1,140-1,330-1,356-1,582-1,596-1,695-1,995-2,147-2,260-2,373-2,660-3,164-3,390-3,955-3,990-4,294-4,746-6,441-6,780-7,910-7,980-8,588-9,492-10,735-11,865-12,882-15,029-15,820-21,470-23,730-25,764-30,058-32,205-42,940-45,087-47,460-60,116-64,410-75,145-90,174-128,820-150,290-180,348-225,435-300,580-450,870-901,740

More Examples

Here are some more numbers to try:

901,738901,739901,741901,742
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