Q: What are the factor combinations of the number 15,735,240?

 A:
Positive:   1 x 157352402 x 78676203 x 52450804 x 39338105 x 31470486 x 26225408 x 19669059 x 174836010 x 157352412 x 131127015 x 104901618 x 87418020 x 78676224 x 65563530 x 52450836 x 43709040 x 39338145 x 34967260 x 26225472 x 21854590 x 174836109 x 144360120 x 131127180 x 87418218 x 72180327 x 48120360 x 43709401 x 39240436 x 36090545 x 28872654 x 24060802 x 19620872 x 18045981 x 160401090 x 144361203 x 130801308 x 120301604 x 98101635 x 96241962 x 80202005 x 78482180 x 72182406 x 65402616 x 60153208 x 49053270 x 48123609 x 43603924 x 4010
Negative: -1 x -15735240-2 x -7867620-3 x -5245080-4 x -3933810-5 x -3147048-6 x -2622540-8 x -1966905-9 x -1748360-10 x -1573524-12 x -1311270-15 x -1049016-18 x -874180-20 x -786762-24 x -655635-30 x -524508-36 x -437090-40 x -393381-45 x -349672-60 x -262254-72 x -218545-90 x -174836-109 x -144360-120 x -131127-180 x -87418-218 x -72180-327 x -48120-360 x -43709-401 x -39240-436 x -36090-545 x -28872-654 x -24060-802 x -19620-872 x -18045-981 x -16040-1090 x -14436-1203 x -13080-1308 x -12030-1604 x -9810-1635 x -9624-1962 x -8020-2005 x -7848-2180 x -7218-2406 x -6540-2616 x -6015-3208 x -4905-3270 x -4812-3609 x -4360-3924 x -4010


How do I find the factor combinations of the number 15,735,240?

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 15,735,240, 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 15,735,240
-1 -15,735,240

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 15,735,240.

Example:
1 x 15,735,240 = 15,735,240
and
-1 x -15,735,240 = 15,735,240
Notice both answers equal 15,735,240

With that explanation out of the way, let's continue. Next, we take the number 15,735,240 and divide it by 2:

15,735,240 ÷ 2 = 7,867,620

If the quotient is a whole number, then 2 and 7,867,620 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 7,867,620 15,735,240
-1 -2 -7,867,620 -15,735,240

Now, we try dividing 15,735,240 by 3:

15,735,240 ÷ 3 = 5,245,080

If the quotient is a whole number, then 3 and 5,245,080 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 5,245,080 7,867,620 15,735,240
-1 -2 -3 -5,245,080 -7,867,620 -15,735,240

Let's try dividing by 4:

15,735,240 ÷ 4 = 3,933,810

If the quotient is a whole number, then 4 and 3,933,810 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 3,933,810 5,245,080 7,867,620 15,735,240
-1 -2 -3 -4 -3,933,810 -5,245,080 -7,867,620 15,735,240
Keep dividing by the next highest number until you cannot divide anymore.

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

12345689101215182024303640456072901091201802183273604014365456548028729811,0901,2031,3081,6041,6351,9622,0052,1802,4062,6163,2083,2703,6093,9244,0104,3604,8124,9056,0156,5407,2187,8488,0209,6249,81012,03013,08014,43616,04018,04519,62024,06028,87236,09039,24043,70948,12072,18087,418131,127144,360174,836218,545262,254349,672393,381437,090524,508655,635786,762874,1801,049,0161,311,2701,573,5241,748,3601,966,9052,622,5403,147,0483,933,8105,245,0807,867,62015,735,240
-1-2-3-4-5-6-8-9-10-12-15-18-20-24-30-36-40-45-60-72-90-109-120-180-218-327-360-401-436-545-654-802-872-981-1,090-1,203-1,308-1,604-1,635-1,962-2,005-2,180-2,406-2,616-3,208-3,270-3,609-3,924-4,010-4,360-4,812-4,905-6,015-6,540-7,218-7,848-8,020-9,624-9,810-12,030-13,080-14,436-16,040-18,045-19,620-24,060-28,872-36,090-39,240-43,709-48,120-72,180-87,418-131,127-144,360-174,836-218,545-262,254-349,672-393,381-437,090-524,508-655,635-786,762-874,180-1,049,016-1,311,270-1,573,524-1,748,360-1,966,905-2,622,540-3,147,048-3,933,810-5,245,080-7,867,620-15,735,240

More Examples

Here are some more numbers to try:

15,735,23815,735,23915,735,24115,735,242
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