Divisors of 24990: All 48 Factors

Quick Answer

24990 has 48 divisors (factors): 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1190, 1470, 1666, 1785, 2499, 3570, 4165, 4998, 8330, 12495, 24990.

Sum: 73872.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1190, 1470, 1666, 1785, 2499, 3570, 4165, 4998, 8330, 12495, 24990

Found an error? Contact us.

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 24990

The number 24990 has 48 divisors:

1,  2,  3,  5,  6,  7,  10,  14,  15,  17,  21,  30,  34,  35,  42,  49,  51,  70,  85,  98,  102,  105,  119,  147,  170,  210,  238,  245,  255,  294,  357,  490,  510,  595,  714,  735,  833,  1190,  1470,  1666,  1785,  2499,  3570,  4165,  4998,  8330,  12495,  24990

Divisor Pairs of 24990

Each pair multiplies to 24990:

Factor 1×Factor 2=Product
1×24990=24990
2×12495=24990
3×8330=24990
5×4998=24990
6×4165=24990
7×3570=24990
10×2499=24990
14×1785=24990
15×1666=24990
17×1470=24990
21×1190=24990
30×833=24990
34×735=24990
35×714=24990
42×595=24990
49×510=24990
51×490=24990
70×357=24990
85×294=24990
98×255=24990
102×245=24990
105×238=24990
119×210=24990
147×170=24990

Number of Divisors

The number 24990 has 48 divisors, written as τ(24990) = 48 in number theory.

Sum of Divisors

σ(24990) = 1 + 2 + 3 + 5 + 6 + 7 + 10 + 14 + 15 + 17 + 21 + 30 + 34 + 35 + 42 + 49 + 51 + 70 + 85 + 98 + 102 + 105 + 119 + 147 + 170 + 210 + 238 + 245 + 255 + 294 + 357 + 490 + 510 + 595 + 714 + 735 + 833 + 1190 + 1470 + 1666 + 1785 + 2499 + 3570 + 4165 + 4998 + 8330 + 12495 + 24990 = 73872

Prime Factorization of 24990

See the full prime factorization calculator →

Properties of 24990

  • 24990 is composite.
  • 24990 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 73872.

Common Divisors with Another Number?

Looking for the divisors that 24990 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 24990

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √24990 ≈ 158.08. If i divides 24990, then both i and 24990/i are divisors.

  1. 1 divides 24990 (24990 ÷ 1 = 24990) → pair (1, 24990)
  2. 2 divides 24990 (24990 ÷ 2 = 12495) → pair (2, 12495)
  3. 3 divides 24990 (24990 ÷ 3 = 8330) → pair (3, 8330)
  4. 5 divides 24990 (24990 ÷ 5 = 4998) → pair (5, 4998)
  5. 6 divides 24990 (24990 ÷ 6 = 4165) → pair (6, 4165)
  6. 7 divides 24990 (24990 ÷ 7 = 3570) → pair (7, 3570)
  7. 10 divides 24990 (24990 ÷ 10 = 2499) → pair (10, 2499)
  8. 14 divides 24990 (24990 ÷ 14 = 1785) → pair (14, 1785)
  9. 15 divides 24990 (24990 ÷ 15 = 1666) → pair (15, 1666)
  10. 17 divides 24990 (24990 ÷ 17 = 1470) → pair (17, 1470)
  11. 21 divides 24990 (24990 ÷ 21 = 1190) → pair (21, 1190)
  12. 30 divides 24990 (24990 ÷ 30 = 833) → pair (30, 833)
  13. 34 divides 24990 (24990 ÷ 34 = 735) → pair (34, 735)
  14. 35 divides 24990 (24990 ÷ 35 = 714) → pair (35, 714)
  15. 42 divides 24990 (24990 ÷ 42 = 595) → pair (42, 595)
  16. 49 divides 24990 (24990 ÷ 49 = 510) → pair (49, 510)
  17. 51 divides 24990 (24990 ÷ 51 = 490) → pair (51, 490)
  18. 70 divides 24990 (24990 ÷ 70 = 357) → pair (70, 357)
  19. 85 divides 24990 (24990 ÷ 85 = 294) → pair (85, 294)
  20. 98 divides 24990 (24990 ÷ 98 = 255) → pair (98, 255)
  21. 102 divides 24990 (24990 ÷ 102 = 245) → pair (102, 245)
  22. 105 divides 24990 (24990 ÷ 105 = 238) → pair (105, 238)
  23. 119 divides 24990 (24990 ÷ 119 = 210) → pair (119, 210)
  24. 147 divides 24990 (24990 ÷ 147 = 170) → pair (147, 170)
  25. Collect all unique values: {1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1190, 1470, 1666, 1785, 2499, 3570, 4165, 4998, 8330, 12495, 24990} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 5 + 6 + 7 + 10 + 14 + 15 + 17 + 21 + 30 + 34 + 35 + 42 + 49 + 51 + 70 + 85 + 98 + 102 + 105 + 119 + 147 + 170 + 210 + 238 + 245 + 255 + 294 + 357 + 490 + 510 + 595 + 714 + 735 + 833 + 1190 + 1470 + 1666 + 1785 + 2499 + 3570 + 4165 + 4998 + 8330 + 12495 + 24990 = 73872.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 24990

See also our tables of divisors:

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

Divisors Calculation Examples

Find all divisors of these numbers:

1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div

Related Calculators