Q: What are the factor combinations of the number 267,840?

 A:
Positive:   1 x 2678402 x 1339203 x 892804 x 669605 x 535686 x 446408 x 334809 x 2976010 x 2678412 x 2232015 x 1785616 x 1674018 x 1488020 x 1339224 x 1116027 x 992030 x 892831 x 864032 x 837036 x 744040 x 669645 x 595248 x 558054 x 496060 x 446462 x 432064 x 418572 x 372080 x 334890 x 297693 x 288096 x 2790108 x 2480120 x 2232124 x 2160135 x 1984144 x 1860155 x 1728160 x 1674180 x 1488186 x 1440192 x 1395216 x 1240240 x 1116248 x 1080270 x 992279 x 960288 x 930310 x 864320 x 837360 x 744372 x 720432 x 620465 x 576480 x 558496 x 540
Negative: -1 x -267840-2 x -133920-3 x -89280-4 x -66960-5 x -53568-6 x -44640-8 x -33480-9 x -29760-10 x -26784-12 x -22320-15 x -17856-16 x -16740-18 x -14880-20 x -13392-24 x -11160-27 x -9920-30 x -8928-31 x -8640-32 x -8370-36 x -7440-40 x -6696-45 x -5952-48 x -5580-54 x -4960-60 x -4464-62 x -4320-64 x -4185-72 x -3720-80 x -3348-90 x -2976-93 x -2880-96 x -2790-108 x -2480-120 x -2232-124 x -2160-135 x -1984-144 x -1860-155 x -1728-160 x -1674-180 x -1488-186 x -1440-192 x -1395-216 x -1240-240 x -1116-248 x -1080-270 x -992-279 x -960-288 x -930-310 x -864-320 x -837-360 x -744-372 x -720-432 x -620-465 x -576-480 x -558-496 x -540


How do I find the factor combinations of the number 267,840?

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 267,840, 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.

1 267,840
-1 -267,840

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 267,840.

Example:
1 x 267,840 = 267,840
and
-1 x -267,840 = 267,840
Notice both answers equal 267,840

With that explanation out of the way, let's continue. Next, we take the number 267,840 and divide it by 2:

267,840 ÷ 2 = 133,920

If the quotient is a whole number, then 2 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 2 133,920 267,840
-1 -2 -133,920 -267,840

Now, we try dividing 267,840 by 3:

267,840 ÷ 3 = 89,280

If the quotient is a whole number, then 3 and 89,280 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 89,280 133,920 267,840
-1 -2 -3 -89,280 -133,920 -267,840

Let's try dividing by 4:

267,840 ÷ 4 = 66,960

If the quotient is a whole number, then 4 and 66,960 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 66,960 89,280 133,920 267,840
-1 -2 -3 -4 -66,960 -89,280 -133,920 267,840
Keep dividing by the next highest number until you cannot divide anymore.

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

123456891012151618202427303132364045485460626472809093961081201241351441551601801861922162402482702792883103203603724324654804965405585766207207448378649309609921,0801,1161,2401,3951,4401,4881,6741,7281,8601,9842,1602,2322,4802,7902,8802,9763,3483,7204,1854,3204,4644,9605,5805,9526,6967,4408,3708,6408,9289,92011,16013,39214,88016,74017,85622,32026,78429,76033,48044,64053,56866,96089,280133,920267,840
-1-2-3-4-5-6-8-9-10-12-15-16-18-20-24-27-30-31-32-36-40-45-48-54-60-62-64-72-80-90-93-96-108-120-124-135-144-155-160-180-186-192-216-240-248-270-279-288-310-320-360-372-432-465-480-496-540-558-576-620-720-744-837-864-930-960-992-1,080-1,116-1,240-1,395-1,440-1,488-1,674-1,728-1,860-1,984-2,160-2,232-2,480-2,790-2,880-2,976-3,348-3,720-4,185-4,320-4,464-4,960-5,580-5,952-6,696-7,440-8,370-8,640-8,928-9,920-11,160-13,392-14,880-16,740-17,856-22,320-26,784-29,760-33,480-44,640-53,568-66,960-89,280-133,920-267,840

More Examples

Here are some more numbers to try:

267,838267,839267,841267,842
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