Q: What are the factor combinations of the number 697,950?

 A:
Positive:   1 x 6979502 x 3489753 x 2326505 x 1395906 x 1163259 x 7755010 x 6979511 x 6345015 x 4653018 x 3877522 x 3172525 x 2791827 x 2585030 x 2326533 x 2115045 x 1551047 x 1485050 x 1395954 x 1292555 x 1269066 x 1057575 x 930690 x 775594 x 742599 x 7050110 x 6345135 x 5170141 x 4950150 x 4653165 x 4230198 x 3525225 x 3102235 x 2970270 x 2585275 x 2538282 x 2475297 x 2350330 x 2115423 x 1650450 x 1551470 x 1485495 x 1410517 x 1350550 x 1269594 x 1175675 x 1034705 x 990825 x 846
Negative: -1 x -697950-2 x -348975-3 x -232650-5 x -139590-6 x -116325-9 x -77550-10 x -69795-11 x -63450-15 x -46530-18 x -38775-22 x -31725-25 x -27918-27 x -25850-30 x -23265-33 x -21150-45 x -15510-47 x -14850-50 x -13959-54 x -12925-55 x -12690-66 x -10575-75 x -9306-90 x -7755-94 x -7425-99 x -7050-110 x -6345-135 x -5170-141 x -4950-150 x -4653-165 x -4230-198 x -3525-225 x -3102-235 x -2970-270 x -2585-275 x -2538-282 x -2475-297 x -2350-330 x -2115-423 x -1650-450 x -1551-470 x -1485-495 x -1410-517 x -1350-550 x -1269-594 x -1175-675 x -1034-705 x -990-825 x -846


How do I find the factor combinations of the number 697,950?

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 697,950, 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.

1 697,950
-1 -697,950

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 697,950.

Example:
1 x 697,950 = 697,950
and
-1 x -697,950 = 697,950
Notice both answers equal 697,950

With that explanation out of the way, let's continue. Next, we take the number 697,950 and divide it by 2:

697,950 ÷ 2 = 348,975

If the quotient is a whole number, then 2 and 348,975 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 2 348,975 697,950
-1 -2 -348,975 -697,950

Now, we try dividing 697,950 by 3:

697,950 ÷ 3 = 232,650

If the quotient is a whole number, then 3 and 232,650 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 3 232,650 348,975 697,950
-1 -2 -3 -232,650 -348,975 -697,950

Let's try dividing by 4:

697,950 ÷ 4 = 174,487.5

If the quotient is a whole number, then 4 and 174,487.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 2 3 232,650 348,975 697,950
-1 -2 -3 -232,650 -348,975 697,950
Keep dividing by the next highest number until you cannot divide anymore.

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

123569101115182225273033454750545566759094991101351411501651982252352702752822973304234504704955175505946757058258469901,0341,1751,2691,3501,4101,4851,5511,6502,1152,3502,4752,5382,5852,9703,1023,5254,2304,6534,9505,1706,3457,0507,4257,7559,30610,57512,69012,92513,95914,85015,51021,15023,26525,85027,91831,72538,77546,53063,45069,79577,550116,325139,590232,650348,975697,950
-1-2-3-5-6-9-10-11-15-18-22-25-27-30-33-45-47-50-54-55-66-75-90-94-99-110-135-141-150-165-198-225-235-270-275-282-297-330-423-450-470-495-517-550-594-675-705-825-846-990-1,034-1,175-1,269-1,350-1,410-1,485-1,551-1,650-2,115-2,350-2,475-2,538-2,585-2,970-3,102-3,525-4,230-4,653-4,950-5,170-6,345-7,050-7,425-7,755-9,306-10,575-12,690-12,925-13,959-14,850-15,510-21,150-23,265-25,850-27,918-31,725-38,775-46,530-63,450-69,795-77,550-116,325-139,590-232,650-348,975-697,950

More Examples

Here are some more numbers to try:

697,948697,949697,951697,952
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