Q: What are the factor combinations of the number 401,760?

 A:
Positive:   1 x 4017602 x 2008803 x 1339204 x 1004405 x 803526 x 669608 x 502209 x 4464010 x 4017612 x 3348015 x 2678416 x 2511018 x 2232020 x 2008824 x 1674027 x 1488030 x 1339231 x 1296032 x 1255536 x 1116040 x 1004445 x 892848 x 837054 x 744060 x 669662 x 648072 x 558080 x 502281 x 496090 x 446493 x 432096 x 4185108 x 3720120 x 3348124 x 3240135 x 2976144 x 2790155 x 2592160 x 2511162 x 2480180 x 2232186 x 2160216 x 1860240 x 1674248 x 1620270 x 1488279 x 1440288 x 1395310 x 1296324 x 1240360 x 1116372 x 1080405 x 992432 x 930465 x 864480 x 837496 x 810540 x 744558 x 720620 x 648
Negative: -1 x -401760-2 x -200880-3 x -133920-4 x -100440-5 x -80352-6 x -66960-8 x -50220-9 x -44640-10 x -40176-12 x -33480-15 x -26784-16 x -25110-18 x -22320-20 x -20088-24 x -16740-27 x -14880-30 x -13392-31 x -12960-32 x -12555-36 x -11160-40 x -10044-45 x -8928-48 x -8370-54 x -7440-60 x -6696-62 x -6480-72 x -5580-80 x -5022-81 x -4960-90 x -4464-93 x -4320-96 x -4185-108 x -3720-120 x -3348-124 x -3240-135 x -2976-144 x -2790-155 x -2592-160 x -2511-162 x -2480-180 x -2232-186 x -2160-216 x -1860-240 x -1674-248 x -1620-270 x -1488-279 x -1440-288 x -1395-310 x -1296-324 x -1240-360 x -1116-372 x -1080-405 x -992-432 x -930-465 x -864-480 x -837-496 x -810-540 x -744-558 x -720-620 x -648


How do I find the factor combinations of the number 401,760?

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 401,760, 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.

1 401,760
-1 -401,760

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 401,760.

Example:
1 x 401,760 = 401,760
and
-1 x -401,760 = 401,760
Notice both answers equal 401,760

With that explanation out of the way, let's continue. Next, we take the number 401,760 and divide it by 2:

401,760 ÷ 2 = 200,880

If the quotient is a whole number, then 2 and 200,880 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 2 200,880 401,760
-1 -2 -200,880 -401,760

Now, we try dividing 401,760 by 3:

401,760 ÷ 3 = 133,920

If the quotient is a whole number, then 3 and 133,920 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 3 133,920 200,880 401,760
-1 -2 -3 -133,920 -200,880 -401,760

Let's try dividing by 4:

401,760 ÷ 4 = 100,440

If the quotient is a whole number, then 4 and 100,440 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 4 100,440 133,920 200,880 401,760
-1 -2 -3 -4 -100,440 -133,920 -200,880 401,760
Keep dividing by the next highest number until you cannot divide anymore.

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

123456891012151618202427303132364045485460627280819093961081201241351441551601621801862162402482702792883103243603724054324654804965405586206487207448108378649309921,0801,1161,2401,2961,3951,4401,4881,6201,6741,8602,1602,2322,4802,5112,5922,7902,9763,2403,3483,7204,1854,3204,4644,9605,0225,5806,4806,6967,4408,3708,92810,04411,16012,55512,96013,39214,88016,74020,08822,32025,11026,78433,48040,17644,64050,22066,96080,352100,440133,920200,880401,760
-1-2-3-4-5-6-8-9-10-12-15-16-18-20-24-27-30-31-32-36-40-45-48-54-60-62-72-80-81-90-93-96-108-120-124-135-144-155-160-162-180-186-216-240-248-270-279-288-310-324-360-372-405-432-465-480-496-540-558-620-648-720-744-810-837-864-930-992-1,080-1,116-1,240-1,296-1,395-1,440-1,488-1,620-1,674-1,860-2,160-2,232-2,480-2,511-2,592-2,790-2,976-3,240-3,348-3,720-4,185-4,320-4,464-4,960-5,022-5,580-6,480-6,696-7,440-8,370-8,928-10,044-11,160-12,555-12,960-13,392-14,880-16,740-20,088-22,320-25,110-26,784-33,480-40,176-44,640-50,220-66,960-80,352-100,440-133,920-200,880-401,760

More Examples

Here are some more numbers to try:

401,758401,759401,761401,762
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