Q: What are the factor combinations of the number 367,488?

 A:
Positive:   1 x 3674882 x 1837443 x 1224964 x 918726 x 612488 x 459369 x 4083211 x 3340812 x 3062416 x 2296818 x 2041622 x 1670424 x 1531229 x 1267232 x 1148433 x 1113636 x 1020844 x 835248 x 765658 x 633664 x 574266 x 556872 x 510487 x 422488 x 417696 x 382899 x 3712116 x 3168128 x 2871132 x 2784144 x 2552174 x 2112176 x 2088192 x 1914198 x 1856232 x 1584261 x 1408264 x 1392288 x 1276319 x 1152348 x 1056352 x 1044384 x 957396 x 928464 x 792522 x 704528 x 696576 x 638
Negative: -1 x -367488-2 x -183744-3 x -122496-4 x -91872-6 x -61248-8 x -45936-9 x -40832-11 x -33408-12 x -30624-16 x -22968-18 x -20416-22 x -16704-24 x -15312-29 x -12672-32 x -11484-33 x -11136-36 x -10208-44 x -8352-48 x -7656-58 x -6336-64 x -5742-66 x -5568-72 x -5104-87 x -4224-88 x -4176-96 x -3828-99 x -3712-116 x -3168-128 x -2871-132 x -2784-144 x -2552-174 x -2112-176 x -2088-192 x -1914-198 x -1856-232 x -1584-261 x -1408-264 x -1392-288 x -1276-319 x -1152-348 x -1056-352 x -1044-384 x -957-396 x -928-464 x -792-522 x -704-528 x -696-576 x -638


How do I find the factor combinations of the number 367,488?

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 367,488, 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.

1 367,488
-1 -367,488

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 367,488.

Example:
1 x 367,488 = 367,488
and
-1 x -367,488 = 367,488
Notice both answers equal 367,488

With that explanation out of the way, let's continue. Next, we take the number 367,488 and divide it by 2:

367,488 ÷ 2 = 183,744

If the quotient is a whole number, then 2 and 183,744 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 2 183,744 367,488
-1 -2 -183,744 -367,488

Now, we try dividing 367,488 by 3:

367,488 ÷ 3 = 122,496

If the quotient is a whole number, then 3 and 122,496 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 3 122,496 183,744 367,488
-1 -2 -3 -122,496 -183,744 -367,488

Let's try dividing by 4:

367,488 ÷ 4 = 91,872

If the quotient is a whole number, then 4 and 91,872 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 91,872 122,496 183,744 367,488
-1 -2 -3 -4 -91,872 -122,496 -183,744 367,488
Keep dividing by the next highest number until you cannot divide anymore.

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

123468911121618222429323336444858646672878896991161281321441741761921982322612642883193483523843964645225285766386967047929289571,0441,0561,1521,2761,3921,4081,5841,8561,9142,0882,1122,5522,7842,8713,1683,7123,8284,1764,2245,1045,5685,7426,3367,6568,35210,20811,13611,48412,67215,31216,70420,41622,96830,62433,40840,83245,93661,24891,872122,496183,744367,488
-1-2-3-4-6-8-9-11-12-16-18-22-24-29-32-33-36-44-48-58-64-66-72-87-88-96-99-116-128-132-144-174-176-192-198-232-261-264-288-319-348-352-384-396-464-522-528-576-638-696-704-792-928-957-1,044-1,056-1,152-1,276-1,392-1,408-1,584-1,856-1,914-2,088-2,112-2,552-2,784-2,871-3,168-3,712-3,828-4,176-4,224-5,104-5,568-5,742-6,336-7,656-8,352-10,208-11,136-11,484-12,672-15,312-16,704-20,416-22,968-30,624-33,408-40,832-45,936-61,248-91,872-122,496-183,744-367,488

More Examples

Here are some more numbers to try:

367,486367,487367,489367,490
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