Q: What are the factor combinations of the number 731,952?

 A:
Positive:   1 x 7319522 x 3659763 x 2439844 x 1829886 x 1219928 x 914949 x 8132812 x 6099613 x 5630416 x 4574717 x 4305618 x 4066423 x 3182424 x 3049826 x 2815234 x 2152836 x 2033239 x 1876846 x 1591248 x 1524951 x 1435252 x 1407668 x 1076469 x 1060872 x 1016678 x 938492 x 7956102 x 7176104 x 7038117 x 6256136 x 5382138 x 5304144 x 5083153 x 4784156 x 4692184 x 3978204 x 3588207 x 3536208 x 3519221 x 3312234 x 3128272 x 2691276 x 2652299 x 2448306 x 2392312 x 2346368 x 1989391 x 1872408 x 1794414 x 1768442 x 1656468 x 1564552 x 1326598 x 1224612 x 1196624 x 1173663 x 1104782 x 936816 x 897828 x 884
Negative: -1 x -731952-2 x -365976-3 x -243984-4 x -182988-6 x -121992-8 x -91494-9 x -81328-12 x -60996-13 x -56304-16 x -45747-17 x -43056-18 x -40664-23 x -31824-24 x -30498-26 x -28152-34 x -21528-36 x -20332-39 x -18768-46 x -15912-48 x -15249-51 x -14352-52 x -14076-68 x -10764-69 x -10608-72 x -10166-78 x -9384-92 x -7956-102 x -7176-104 x -7038-117 x -6256-136 x -5382-138 x -5304-144 x -5083-153 x -4784-156 x -4692-184 x -3978-204 x -3588-207 x -3536-208 x -3519-221 x -3312-234 x -3128-272 x -2691-276 x -2652-299 x -2448-306 x -2392-312 x -2346-368 x -1989-391 x -1872-408 x -1794-414 x -1768-442 x -1656-468 x -1564-552 x -1326-598 x -1224-612 x -1196-624 x -1173-663 x -1104-782 x -936-816 x -897-828 x -884


How do I find the factor combinations of the number 731,952?

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 731,952, 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.

1 731,952
-1 -731,952

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 731,952.

Example:
1 x 731,952 = 731,952
and
-1 x -731,952 = 731,952
Notice both answers equal 731,952

With that explanation out of the way, let's continue. Next, we take the number 731,952 and divide it by 2:

731,952 ÷ 2 = 365,976

If the quotient is a whole number, then 2 and 365,976 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 2 365,976 731,952
-1 -2 -365,976 -731,952

Now, we try dividing 731,952 by 3:

731,952 ÷ 3 = 243,984

If the quotient is a whole number, then 3 and 243,984 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 3 243,984 365,976 731,952
-1 -2 -3 -243,984 -365,976 -731,952

Let's try dividing by 4:

731,952 ÷ 4 = 182,988

If the quotient is a whole number, then 4 and 182,988 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 4 182,988 243,984 365,976 731,952
-1 -2 -3 -4 -182,988 -243,984 -365,976 731,952
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912131617182324263436394648515268697278921021041171361381441531561842042072082212342722762993063123683914084144424685525986126246637828168288848979361,1041,1731,1961,2241,3261,5641,6561,7681,7941,8721,9892,3462,3922,4482,6522,6913,1283,3123,5193,5363,5883,9784,6924,7845,0835,3045,3826,2567,0387,1767,9569,38410,16610,60810,76414,07614,35215,24915,91218,76820,33221,52828,15230,49831,82440,66443,05645,74756,30460,99681,32891,494121,992182,988243,984365,976731,952
-1-2-3-4-6-8-9-12-13-16-17-18-23-24-26-34-36-39-46-48-51-52-68-69-72-78-92-102-104-117-136-138-144-153-156-184-204-207-208-221-234-272-276-299-306-312-368-391-408-414-442-468-552-598-612-624-663-782-816-828-884-897-936-1,104-1,173-1,196-1,224-1,326-1,564-1,656-1,768-1,794-1,872-1,989-2,346-2,392-2,448-2,652-2,691-3,128-3,312-3,519-3,536-3,588-3,978-4,692-4,784-5,083-5,304-5,382-6,256-7,038-7,176-7,956-9,384-10,166-10,608-10,764-14,076-14,352-15,249-15,912-18,768-20,332-21,528-28,152-30,498-31,824-40,664-43,056-45,747-56,304-60,996-81,328-91,494-121,992-182,988-243,984-365,976-731,952

More Examples

Here are some more numbers to try:

731,950731,951731,953731,954
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