Q: What are the factor combinations of the number 123,456,792?

 A:
Positive:   1 x 1234567922 x 617283963 x 411522644 x 308641986 x 205761328 x 1543209912 x 1028806624 x 514403359 x 2092488118 x 1046244177 x 697496236 x 523122354 x 348748472 x 261561708 x 1743741416 x 87187
Negative: -1 x -123456792-2 x -61728396-3 x -41152264-4 x -30864198-6 x -20576132-8 x -15432099-12 x -10288066-24 x -5144033-59 x -2092488-118 x -1046244-177 x -697496-236 x -523122-354 x -348748-472 x -261561-708 x -174374-1416 x -87187


How do I find the factor combinations of the number 123,456,792?

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 123,456,792, 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.

1 123,456,792
-1 -123,456,792

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 123,456,792.

Example:
1 x 123,456,792 = 123,456,792
and
-1 x -123,456,792 = 123,456,792
Notice both answers equal 123,456,792

With that explanation out of the way, let's continue. Next, we take the number 123,456,792 and divide it by 2:

123,456,792 ÷ 2 = 61,728,396

If the quotient is a whole number, then 2 and 61,728,396 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 61,728,396 123,456,792
-1 -2 -61,728,396 -123,456,792

Now, we try dividing 123,456,792 by 3:

123,456,792 ÷ 3 = 41,152,264

If the quotient is a whole number, then 3 and 41,152,264 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 41,152,264 61,728,396 123,456,792
-1 -2 -3 -41,152,264 -61,728,396 -123,456,792

Let's try dividing by 4:

123,456,792 ÷ 4 = 30,864,198

If the quotient is a whole number, then 4 and 30,864,198 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 30,864,198 41,152,264 61,728,396 123,456,792
-1 -2 -3 -4 -30,864,198 -41,152,264 -61,728,396 123,456,792
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681224591181772363544727081,41687,187174,374261,561348,748523,122697,4961,046,2442,092,4885,144,03310,288,06615,432,09920,576,13230,864,19841,152,26461,728,396123,456,792
-1-2-3-4-6-8-12-24-59-118-177-236-354-472-708-1,416-87,187-174,374-261,561-348,748-523,122-697,496-1,046,244-2,092,488-5,144,033-10,288,066-15,432,099-20,576,132-30,864,198-41,152,264-61,728,396-123,456,792

More Examples

Here are some more numbers to try:

123,456,790123,456,791123,456,793123,456,794
Try the factor calculator

Explore more about the number 123,456,792:


Ask a Question